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Journal articles on the topic 'Holomorph'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Yu, Xue, and Jiangmin Pan. "2-closures of primitive permutation groups of holomorph type." Open Mathematics 17, no. 1 (July 31, 2019): 795–801. http://dx.doi.org/10.1515/math-2019-0063.

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Abstract The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω. In this paper, the 2-closures of certain primitive permutation groups of holomorph simple and holomorph compound types are determined.

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2

Pitt, J. I. "Phylogeny in the genus Penicillium: a morphologist's perspective." Canadian Journal of Botany 73, S1 (December 31, 1995): 768–77. http://dx.doi.org/10.1139/b95-321.

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Great advances have taken place in our understanding of the taxonomy of Penicillium and its teleomorphs in the past 15 years. Physiological and biochemical techniques, applied in conjunction with morphology, have enabled the taxonomy of this difficult genus to approach consensus. Such information, plus existing molecular data, have been used here to construct a hypothetical phylogeny. The proposed phylogeny is based on a number of postulates, including the following: (i) evolution has proceeded from holomorph to strict anamorph; (ii) an intermediate stage exists, the sclerotigenic anamorph; (iii) Eupenicillium and Talaromyces, the Penicillium holomorphs, are of separate (though related) origin; (iv) species in Penicillium have arisen on multiple occasions from these holomorphic genera; and (v) evolution among Penicillium species is away from floccose growth and sparsely produced penicilli, away from irregular penicilli, and away from the soil habitat. Physiologically, evolution is towards growth at low temperature and low water activity and towards mycotoxin production. These and other criteria have been used to construct a hypothetical phylogeny of the major species in Talaromyces, Eupenicillium, and Penicillium, which is offered as a framework for future molecular studies. Key words: Penicillium phylogeny, taxonomy, evolution.

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3

Jaiyeola, Temitope Gbolahan, and Bolaji Ajibola Popoola. "Holomorph of generalized Bol loops II." Discussiones Mathematicae - General Algebra and Applications 35, no. 1 (2015): 59. http://dx.doi.org/10.7151/dmgaa.1234.

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4

Seifizadeh, Parisa, and Mohammad Mehdi Nasrabadi. "The holomorph of an extra-special p–group." Annals of the Alexandru Ioan Cuza University - Mathematics 67, no. 2 (2021): 309–17. http://dx.doi.org/10.47743/anstim.2021.00022.

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5

Lee, Dong Hoon. "On representations of the holomorph of analytic groups." Proceedings of the American Mathematical Society 95, no. 1 (January 1, 1985): 135. http://dx.doi.org/10.1090/s0002-9939-1985-0796462-2.

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6

Seifert, Keith A., and Steven E. Carpenter. "Bisporella resinicola comb.nov. and its Eustilbum anamorph." Canadian Journal of Botany 65, no. 6 (June 1, 1987): 1262–67. http://dx.doi.org/10.1139/b87-176.

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Helotium resinicola is transferred to the genus Bisporella as Bisporella resinicola comb.nov., and the history of its anamorph is traced, resulting in the resurrecting of the anamorph genus Eustilbum and the new combination Eustilbum aureum. The holomorph is described and illustrated, and its ecology is briefly discussed.

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7

Hai, Jinke, Shengbo Ge, and Weiping He. "The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups." Journal of Algebra and Its Applications 16, no. 02 (February 2017): 1750025. http://dx.doi.org/10.1142/s0219498817500256.

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Let [Formula: see text] be a finite group and let [Formula: see text] be the holomorph of [Formula: see text]. If [Formula: see text] is a finite nilpotent group or a symmetric group [Formula: see text] of degree [Formula: see text], then the normalizer property holds for [Formula: see text].

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8

Tsang, Cindy, and Chao Qin. "On the solvability of regular subgroups in the holomorph of a finite solvable group." International Journal of Algebra and Computation 30, no. 02 (October 22, 2019): 253–65. http://dx.doi.org/10.1142/s0218196719500735.

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We exhibit infinitely many natural numbers [Formula: see text] for which there exists at least one insolvable group of order [Formula: see text], and yet the holomorph of every solvable group of order [Formula: see text] has no insolvable regular subgroup. We also solve Problem 19.90(d) in the Kourovka notebook.

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9

Sadler, D. A., R. D. Cartwright, and G. E. Templeton. "The Holomorph Connection of Aecidium plucheae and Puccinia angustatoides." Mycologia 88, no. 2 (March 1996): 171. http://dx.doi.org/10.2307/3760919.

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10

Sadler, D. A., R. D. Cartwright, and G. E. Templeton. "The holomorph connection of Aecidium plucheae and Puccinia angustatoides." Mycologia 88, no. 2 (March 1996): 171–73. http://dx.doi.org/10.1080/00275514.1996.12026640.

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11

Caranti, A., and F. Dalla Volta. "The multiple holomorph of a finitely generated abelian group." Journal of Algebra 481 (July 2017): 327–47. http://dx.doi.org/10.1016/j.jalgebra.2017.03.006.

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12

Caranti, A. "Bi-skew braces and regular subgroups of the holomorph." Journal of Algebra 562 (November 2020): 647–65. http://dx.doi.org/10.1016/j.jalgebra.2020.07.006.

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13

Gilbert, N. D., and E. A. McDougall. "Ordered groupoids and the holomorph of an inverse semigroup." Semigroup Forum 91, no. 3 (December 11, 2014): 648–62. http://dx.doi.org/10.1007/s00233-014-9670-4.

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14

Kasangian, Stefano, Giuseppe Metere, and Enrico M. Vitale. "Split extensions, semidirect product and holomorph of categorical groups." Homology, Homotopy and Applications 8, no. 1 (2006): 145–67. http://dx.doi.org/10.4310/hha.2006.v8.n1.a4.

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15

Lee, Dong Hoon, and Ta-Sun Wu. "On faithful representations of the holomorph of Lie groups." Mathematische Annalen 275, no. 3 (September 1986): 521–27. http://dx.doi.org/10.1007/bf01458621.

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16

Acri, E., and M. Bonatto. "Skew Braces of Size p2 q I: Abelian Type." Algebra Colloquium 29, no. 02 (April 30, 2022): 297–320. http://dx.doi.org/10.1142/s1005386722000244.

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This is the first part of a series of two articles. In this paper we enumerate and classify the left braces of size [Formula: see text], where[Formula: see text] and [Formula: see text] are distinct prime numbers, by the classification of regular subgroups of the holomorph of the abelian groups of the same order. We also provide the formulas that define the constructed braces.

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17

SHANG, QIU-JU, RUNGTIWA PHOOKAMSAK, ERIO CAMPORESI, SEHROON KHAN, SAISAMORN LUMYONG, and KEVIN D. HYDE. "The holomorph of Fusarium celtidicola sp. nov. from Celtis australis." Phytotaxa 361, no. 3 (July 20, 2018): 251. http://dx.doi.org/10.11646/phytotaxa.361.3.1.

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A novel holomorphic Fusarium species, F. celtidicola is introduced in this study, with evidence from morphological characterisation and phylogenetic analyses. The new species is described and discussed in relation to similar taxa. Analysis of RPB1 and RPB2 sequence data support the placement in Fusarium and its distinctiveness as a new species.

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18

Hsieh, Huei-Mei, and Yu-Ming Ju. "Penicilliopsis pseudocordyceps, the holomorph ofPseudocordyceps seminicola, and notes onPenicilliopsis clavariaeformis." Mycologia 94, no. 3 (May 2002): 539–44. http://dx.doi.org/10.1080/15572536.2003.11833219.

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19

Caranti, A., and F. Dalla Volta. "Groups that have the same holomorph as a finite perfect group." Journal of Algebra 507 (August 2018): 81–102. http://dx.doi.org/10.1016/j.jalgebra.2018.04.006.

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20

SYSKIN, SERGEI A. "THE HOLOMORPH OF A CYCLIC p-GROUP AND RELATED NEAR-RINGS." International Journal of Algebra and Computation 11, no. 04 (August 2001): 497–506. http://dx.doi.org/10.1142/s0218196701000620.

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21

Huebschmann, Johannes. "On the cohomology of the holomorph of a finite cyclic group." Journal of Algebra 279, no. 1 (September 2004): 79–90. http://dx.doi.org/10.1016/j.jalgebra.2004.02.034.

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22

Hsieh, Huei-Mei, and Yu-Ming Ju. "Penicilliopsis pseudocordyceps, the Holomorph of Pseudocordyceps seminicola, and Notes on Penicilliopsis clavariaeformis." Mycologia 94, no. 3 (May 2002): 539. http://dx.doi.org/10.2307/3761788.

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23

Tsang, Cindy. "The multiple holomorph of a semidirect product of groups having coprime exponents." Archiv der Mathematik 115, no. 1 (March 10, 2020): 13–21. http://dx.doi.org/10.1007/s00013-020-01439-2.

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24

Huang, Shi-Ke, Rajesh Jeewon, Kevin D. Hyde, D. Jayarama Bhat, Putarak Chomnunti, and Ting-Chi Wen. "Beta-tubulin and Actin gene phylogeny supports Phaeoacremonium ovale as a new species from freshwater habitats in China." MycoKeys 41 (October 11, 2018): 1–15. http://dx.doi.org/10.3897/mycokeys.41.27536.

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A new species ofPhaeoacremonium,P.ovale(Togniniaceae), was isolated during a diversity study of freshwater fungi from Yunnan Province in China. Morphological and cultural studies of the fungus were carried out and its sexual and asexual morphs (holomorph) are introduced herein. This species is characterised by peculiar long-necked, semi-immersed ascomata with oval to ellipsoid ascospores and ellipsoid to ovoid conidia. Phylogenetic analyses of a combined TUB and ACT gene dataset revealed that strains ofP.ovaleconstitute a strongly supported independent lineage and are related toP.griseo-olivaceumandP.africanum. The number of nucleotide differences, across the genes analysed, also supports establishment ofP.ovaleas a new species.

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25

KARUNARATHNA, ANURUDDHA, RUNGTIWA PHOOKAMSAK, RUVISHIKA S. JAYAWARDENA, RATCHADAWAN CHEEWANGKOON, KEVIN D. HYDE, and CHANG-HSIN KUO. "The holomorph of Neoroussoella alishanense sp. nov. (Roussoellaceae, Pleosporales) on Pennisetum purpureum (Poaceae)." Phytotaxa 406, no. 4 (June 19, 2019): 218–36. http://dx.doi.org/10.11646/phytotaxa.406.4.1.

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A new species of Neoroussoella (Roussoellaceae) collected in Taiwan is introduced from Pennisetum purpureum with both asexual and sexual morphs. Phylogenetic analysis of a concatenated LSU-ITS-SSU-TEF1-α-RPB2 sequence dataset reveals that the new species forms a distinct sister clade with N. bambusae with high statistical support (100% ML/ 1.00 BYPP). Neoroussoella alishanense is morphologically similar with the generic type, N. bambusae, but N. alishanense is distinct in having larger ascomata and its ascospores lack a mucilaginous sheath. While, N. bambusae has smaller ascomata and its ascospores are surrounded by a mucilaginous sheath. A comparison of ITS, RPB2 and TEF1-α nucleotide bases shows that they are distinct species.

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26

TIBPROMMA, SAOWALUCK, SARANYAPHAT BOONMEE, NALIN N. WIJAYAWARDENE, SAJEEWA S. N. MAHARACHCHIKUMBURA, ERIC H. C. MCKENZIE, ALI H. BAHKALI, JONES E. B. E.B. GARETH, KEVIN D. HYDE, and ITTHAYAKORN PROMPUTTHA. "The holomorph of Parasarcopodium (Stachybotryaceae), introducing P. pandanicola sp. nov. on Pandanus sp." Phytotaxa 266, no. 4 (June 27, 2016): 250. http://dx.doi.org/10.11646/phytotaxa.266.4.2.

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Collections of microfungi on Pandanus species (Pandanaceae) in Krabi, Thailand resulted in the discovery of a new species in the genus Parasarcopodium, producing both its sexual and asexual morphs. In this paper, we introduce P. pandanicola sp. nov., with an illustrated account. Evidence for the new species is provided by distinct morphology and phylogenetic analyses. This is also the first report of the sexual morph of Parasarcopodium. The phylogenetic trees used Maximum Likelihood and Bayesian analyses of combined LSU, SSU, TEF1 and RPB2 sequence data to show the placement of the new species in Stachybotryaceae.

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27

Rice, Adrianne V., and Randolph S. Currah. "New perspectives on the niche and holomorph of the myxotrichoid hyphomycete, Oidiodendron maius." Mycological Research 106, no. 12 (December 2002): 1463–67. http://dx.doi.org/10.1017/s0953756202006767.

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28

Tsang, Cindy. "On the multiple holomorph of groups of squarefree or odd prime power order." Journal of Algebra 544 (February 2020): 1–28. http://dx.doi.org/10.1016/j.jalgebra.2019.10.019.

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29

Berndt, Reinhard. "Chaconia hennenii, a new holomorph species for Uredo maclurae and Uredo celtidis (Uredinales)." Mycoscience 49, no. 5 (October 2008): 321–25. http://dx.doi.org/10.1007/s10267-008-0426-4.

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30

Isere, Abednego Orobosa, John Olusola Adéníran, and Tèmítọ́pẹ́ Gbọ́láhàn Jaíyéọlá. "Holomorphy of Osborn loops." Annals of West University of Timisoara - Mathematics and Computer Science 53, no. 2 (December 1, 2015): 81–98. http://dx.doi.org/10.1515/awutm-2015-0016.

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Abstract Let (L, ·) be any loop and let A(L) be a group of automorphisms of (L, ·) such that α and φ are elements of A(L). It is shown that, for all x, y, z ∈ L, the A(L)-holomorph (H, ○) = H(L) of (L, ·) is an Osborn loop if and only if xα(yz · xφ−1) = xα(yxλ · x) · zxφ−1. Furthermore, it is shown that for all x ∈ L, H(L) is an Osborn loop if and only if (L, ·) is an Osborn loop, (xα· xρ)x = xα, x(xλ · xφ−1) = xφ−1 and every pair of automorphisms in A(L) is nuclear (i.e. xα·xρ, xλ ·xφ ∈ N(L, ·)). It is shown that if H(L) is an Osborn loop, then A(L, ·) = 𝒫(L, ·)∩Λ(L, ·)∩Φ(L, ·)∩ Ψ(L, ·) and for any α ∈ A(L), $\alpha = L_{e\pi } = R_{e\varrho }^{ - 1}$ for some π ∈ Φ(L, ·) and some ϱ ∈ Ψ(L, ·). Some commutative diagrams are deduced by considering isomorphisms among the various groups of regular bijections (whose intersection is A(L)) and the nucleus of (L, ·).

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31

Nilrat, Chaufah, and Cheryl E. Praeger. "Balanced directed cycle designs based on cyclic groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 58, no. 2 (April 1995): 210–18. http://dx.doi.org/10.1017/s1446788700038246.

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AbstractA balanced directed cycle design with parameters (υ, k, 1), sometimes called a (υ, k, 1)-design, is a decomposition of the complete directed graph into edge disjoint directed cycles of length k. A complete classification is given of (υ, k, 1)-designs admitting the holomorph {øa, b: x ↦ ax + b∣ a, b ∈ Zυ, (a, υ1) = 1} of the cyclic group Zυ as a group of automorphisms. In particular it is shown that such a design exists if and ony if one of (a) k = 2, (b) p ≡ 1 (mod k) for each prime p dividing υ, or (c) k is the least prime dividing υ, k2 does not divide υ, and p ≡ 1 (mod k) for each prime p < k dividing υ.

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32

Jaiyéolá, T. G., S. P. David, and O. O. Oyebola. "New algebraic properties of middle Bol loops II." Proyecciones (Antofagasta) 40, no. 1 (February 1, 2021): 85–106. http://dx.doi.org/10.22199/issn.0717-6279-2021-01-0006.

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A loop (Q, ·, \, /) is called a middle Bol loop (MBL) if it obeys the identity x(yz\x)=(x/z)(y\x). To every MBL corresponds a right Bol loop (RBL) and a left Bol loop (LBL). In this paper, some new algebraic properties of a middle Bol loop are established in a different style. Some new methods of constructing a MBL by using a non-abelian group, the holomorph of a right Bol loop and a ring are described. Some equivalent necessary and sufficient conditions for a right (left) Bol loop to be a middle Bol loop are established. A RBL (MBL, LBL, MBL) is shown to be a MBL (RBL, MBL, LBL) if and only if it is a Moufang loop.

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33

Abbott, Sean P., Trevor C. Lumley, and Lynne Sigler. "Use of holomorph characters to delimitMicroascus nidicolaandM. soppiisp. nov., with notes on the genusPithoascus." Mycologia 94, no. 2 (March 2002): 362–69. http://dx.doi.org/10.1080/15572536.2003.11833242.

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34

Haug, Carolin, Peter Van Roy, Angelika Leipner, Peter Funch, David M. Rudkin, Lothar Schöllmann, and Joachim T. Haug. "A holomorph approach to xiphosuran evolution—a case study on the ontogeny of Euproops." Development Genes and Evolution 222, no. 5 (August 10, 2012): 253–68. http://dx.doi.org/10.1007/s00427-012-0407-7.

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35

Gauthier, P. M., and V. Nestoridis. "Domains of Injective Holomorphy." Canadian Mathematical Bulletin 55, no. 3 (September 1, 2012): 509–22. http://dx.doi.org/10.4153/cmb-2011-099-9.

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AbstractA domain Ω is called a domain of injective holomorphy if there exists an injective holomorphic function ƒ: Ω → ℂ that is non-extendable. We give examples of domains that are domains of injective holomorphy and others that are not. In particular, every regular domain is a domain of injective holomorphy, and every simply connected domain is a domain of injective holomorphy as well.

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36

JIANG, NING, and CHENG-MING TIAN. "The holomorph of Arthrinium setariae sp. nov. (Apiosporaceae, Xylariales) from China." Phytotaxa 483, no. 2 (February 10, 2021): 149–59. http://dx.doi.org/10.11646/phytotaxa.483.2.7.

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Arthrinium is a widely distributed genus occurring on various hosts and substrates. Members of Arthrinium were distinguished based on the phylogeny of combined internal transcribed spacers (ITS), translation elongation factor 1-alpha gene (tef1), and beta-tubulin gene (tub2). In the present study, a specimen of obvious stromata on Setaria viridis was collected in Beijing Forestry University. Identification based on characters of sexual morph on Setaria viridis culms, asexual morph from manual media, and phylogeny indicated that it is different from any known species. Hence, we proposed a new species for this taxon named Arthrinium setariae. Arthrinium setariae has much larger conidia than its phylogenetically close species, A. jiangxiense, and represented the first record of Arthrinium inhabiting the host genus, Setaria.

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37

Saba, Malka, Abdul Nasir Khalid, and Reinhard Berndt. "Hyalopsora nodispora is the new holomorph name for Uredo capilli-veneris (Uredinales, Pucciniastraceae) from Pakistan." Mycological Progress 11, no. 4 (June 7, 2012): 967–69. http://dx.doi.org/10.1007/s11557-012-0828-8.

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38

Karpińska-Kołaczek, Monika, Piotr Kołaczek, Waldemar Heise, and Grzegorz Worobiec. "Tetraploa aristata Berkeley & Broome (Fungi, Pleosporales), a new taxon to Poland." Acta Societatis Botanicorum Poloniae 79, no. 3 (2011): 239–44. http://dx.doi.org/10.5586/asbp.2010.030.

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<em>Tetraploa aristata</em> Berkeley & Broome represents the anamorphic stage of a pleomorphic fungus with holomorph <em>Tetraplosphaeria tetraploa</em> (Scheuer) Kaz. Tanaka & K. Hiray (<em>Lophiostoma tetraploa</em> (Scheuer) Aptroot & K.D. Hyde). Until now this taxon has not been reported in Poland, where it is probably on the fringe of its distribution. Conidia of <em>Tetraploa aristata</em> were found during palynological analyses of modern surface samples and later on the decaying leaves of <em>Phleum phleoides</em> from xeric grasslands in Kraków and its vicinity. Since <em>Tetraploa aristata</em> was discovered during palynological analysis, this method might be considered to be a useful tool for investigations of contemporary microfungal mycobiota.

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JIN, WEI. "FINITE NORMAL 2-GEODESIC TRANSITIVE CAYLEY GRAPHS." Journal of the Australian Mathematical Society 100, no. 3 (March 16, 2016): 338–48. http://dx.doi.org/10.1017/s1446788715000786.

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For an odd prime $p$, a $p$-transposition group is a group generated by a set of involutions such that the product of any two has order 2 or $p$. We first classify a family of $(G,2)$-geodesic transitive Cayley graphs ${\rm\Gamma}:=\text{Cay}(T,S)$ where $S$ is a set of involutions and $T:\text{Inn}(T)\leq G\leq T:\text{Aut}(T,S)$. In this case, $T$ is either an elementary abelian 2-group or a $p$-transposition group. Then under the further assumption that $G$ acts quasiprimitively on the vertex set of ${\rm\Gamma}$, we prove that: (1) if ${\rm\Gamma}$ is not $(G,2)$-arc transitive, then this quasiprimitive action is the holomorph affine type; (2) if $T$ is a $p$-transposition group and $S$ is a conjugacy class, then $p=3$ and ${\rm\Gamma}$ is $(G,2)$-arc transitive.

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40

Muntañola-Cvetković, M., Jelena Vukojević, and M. Mihaljčević. "Pathohistology of sunflower stems attacked by Diaporthe helianthi." Canadian Journal of Botany 67, no. 4 (April 1, 1989): 1119–25. http://dx.doi.org/10.1139/b89-146.

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Nearly 7000 histological preparations of sunflower plant parts attacked by the holomorph Diaporthe helianthi – Phomopsis helianthi Munt.-Cvet., Mihaljčević et Petrov have been examined since 1980. After foliar infection the hyphae progress through the vascular system and then spread to invade other tissues. Hyphal masses that form in the host cortex represent pycnidial primordia. When fully differentiated the pycnidia expand towards the host periphery and rupture the epidermis. The stem cankers with the conidiomata of the fungus represent an advanced stage of pathogenesis. The nuclear phase change of the fungus occurs in the host pericycle, beneath the endodermis. Ascogonia can be observed beginning in the autumn; their development into protoperithecia and perithecia takes place slowly and unevenly during the subsequent months. Perithecial maturation in spring, when ascospores are abundantly released, must coincide with the onset of host vegetation to satisfy the nutritional needs of the anamorphic, parasitic phase of the fungus. Exceptions to this general scheme have been observed, with ascospore maturation occurring during the winter months.

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41

TIMOFTE, VLAD. ""On the maximum modulus principle and the identity theorem in arbitrary dimension"." Carpathian Journal of Mathematics 38, no. 2 (February 28, 2022): 517–22. http://dx.doi.org/10.37193/cjm.2022.02.20.

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"We prove an identity theorem for Gˆateaux holomorphic functions on polygonally connected 2- open sets, which yields a very general maximum norm principle and a sublinear “max-min” principle. All results apply in particular to vector-valued functions which are holomorphic (in any sense that implies Gˆateaux holomorphy) on domains in Hausdorff locally convex spaces."

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42

Réblová, Martina. "Sporoschismopsis angustata sp. nov., a new holomorph species in the Reticulascaceae (Glomerellales), and a reappraisal of Sporoschismopsis." Mycological Progress 13, no. 3 (December 24, 2013): 671–81. http://dx.doi.org/10.1007/s11557-013-0949-8.

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43

Jöricke, Burglind. "Envelopes of holomorphy and holomorphic discs." Inventiones mathematicae 178, no. 1 (April 15, 2009): 73–118. http://dx.doi.org/10.1007/s00222-009-0194-6.

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44

BOYD, CHRISTOPHER, and PILAR RUEDA. "HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES." Journal of the Australian Mathematical Society 96, no. 2 (November 8, 2013): 186–97. http://dx.doi.org/10.1017/s1446788713000578.

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AbstractWe prove that for a large class of Banach function spaces continuity and holomorphy of superposition operators are equivalent and that bounded superposition operators are continuous. We also use techniques from infinite dimensional holomorphy to establish the boundedness of certain superposition operators. Finally, we apply our results to the study of superposition operators on weighted spaces of holomorphic functions and the $F(p, \alpha , \beta )$ spaces of Zhao. Some independent properties on these spaces are also obtained.

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Krantz, Steven G. "Normed Domains of Holomorphy." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–18. http://dx.doi.org/10.1155/2010/648597.

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We treat the classical concept of domain of holomorphy inℂnwhen the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the casen=1is considered.

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Abbott, Sean P., Trevor C. Lumley, and Lynne Sigler. "Use of Holomorph Characters to Delimit Microascus nidicola and M. soppii sp. nov., with Notes on the Genus Pithoascus." Mycologia 94, no. 2 (March 2002): 362. http://dx.doi.org/10.2307/3761813.

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Liu, Yutong, and Yi Qi. "The Universal Teichmüller Space and Function Space." Journal of Function Spaces 2020 (January 21, 2020): 1–10. http://dx.doi.org/10.1155/2020/8451832.

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In this paper, a subspace TF02,1−s,s of the universal Teichmüller space, which is related to the analytic function space F02,1−s,s, is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre-Bers map is holomorphic and the prelogarithmic derivative model T˜F02,1−s,s of TF02,1−s,s is a disconnected subset of the function space F02,1−s,s. Moreover, several equivalent descriptions of elements of TF02,1−s,s are obtained and the holomorphy of higher Bers maps is proved.

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Arendt, Wolfgang. "Vector-valued holomorphic and harmonic functions." Concrete Operators 3, no. 1 (April 28, 2016): 68–76. http://dx.doi.org/10.1515/conop-2016-0007.

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AbstractHolomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with functionals in a separating subspace of the dual space be holomorphic to deduce holomorphy. Another result is Vitali’s convergence theorem for holomorphic functions. The main novelty in the article is to prove analogous results for harmonic functions with values in a Banach space.

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KACHKACHI, H., and M. KACHKACHI. "SUPERCONFORMAL STRUCTURES AND HOLOMORPHIC 1/2-SUPERDIFFERENTIALS ON N=1 SUPER RIEMANN SURFACES." Modern Physics Letters A 08, no. 38 (December 14, 1993): 3643–58. http://dx.doi.org/10.1142/s0217732393002385.

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Using the super Riemann-Roch theorem we give a local expression for a holomorphic ½-superdifferential in a superconformal structure parametrized by special isothermal coordinates on an N=1 super Riemann surface. The holomorphy of these coordinates with respect to super Beltrami differentials is proved. The monodromy of these differentials is discussed.

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Choi, Yun Sung. "Concerning conditions for holomorphic factorization and uniform holomorphy." Journal of Mathematical Analysis and Applications 135, no. 2 (November 1988): 611–14. http://dx.doi.org/10.1016/0022-247x(88)90175-8.

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