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Artigos de revistas sobre o tema "Finite groups"

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Autor: Grafiati

Publicado: 4 de junho de 2021

Última modificação: 11 de março de 2023

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1

A. Jund, Asaad, e Haval M. Mohammed Salih. "Result Involution Graphs of Finite Groups". Journal of Zankoy Sulaimani - Part A 23, n.º 1 (20 de junho de 2021): 113–18. http://dx.doi.org/10.17656/jzs.10846.

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2

Zhang, Jinshan, Zhencai Shen e Jiangtao Shi. "Finite groups with few vanishing elements". Glasnik Matematicki 49, n.º 1 (8 de junho de 2014): 83–103. http://dx.doi.org/10.3336/gm.49.1.07.

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3

Kondrat'ev, A. S., A. A. Makhnev e A. I. Starostin. "Finite groups". Journal of Soviet Mathematics 44, n.º 3 (fevereiro de 1989): 237–318. http://dx.doi.org/10.1007/bf01676868.

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4

Andruskiewitsch, N., e G. A. García. "Extensions of Finite Quantum Groups by Finite Groups". Transformation Groups 14, n.º 1 (18 de novembro de 2008): 1–27. http://dx.doi.org/10.1007/s00031-008-9039-4.

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5

Conrad, Paul F., e Jorge Martinez. "Locally finite conditions on lattice-ordered groups". Czechoslovak Mathematical Journal 39, n.º 3 (1989): 432–44. http://dx.doi.org/10.21136/cmj.1989.102314.

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6

Chen, Yuanqian, Paul Conrad e Michael Darnel. "Finite-valued subgroups of lattice-ordered groups". Czechoslovak Mathematical Journal 46, n.º 3 (1996): 501–12. http://dx.doi.org/10.21136/cmj.1996.127311.

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7

Kniahina, V. N., e V. S. Monakhov. "Finite groups with semi-subnormal Schmidt subgroups". Algebra and Discrete Mathematics 29, n.º 1 (2020): 66–73. http://dx.doi.org/10.12958/adm1376.

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8

Cao, Jian Ji, e Xiu Yun Guo. "Finite NPDM-groups". Acta Mathematica Sinica, English Series 37, n.º 2 (fevereiro de 2021): 306–14. http://dx.doi.org/10.1007/s10114-021-8047-3.

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9

Burn, R. P., L. C. Grove e C. T. Benson. "Finite Reflection Groups". Mathematical Gazette 70, n.º 451 (março de 1986): 77. http://dx.doi.org/10.2307/3615867.

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10

Stonehewer, S. E. "FINITE SOLUBLE GROUPS". Bulletin of the London Mathematical Society 25, n.º 5 (setembro de 1993): 505–6. http://dx.doi.org/10.1112/blms/25.5.505.

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11

MCIVER, ANNABELLE, e PETER M. NEUMANN. "ENUMERATING FINITE GROUPS". Quarterly Journal of Mathematics 38, n.º 4 (1987): 473–88. http://dx.doi.org/10.1093/qmath/38.4.473.

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12

Cherlin, Gregory, e Ulrich Felgner. "Homogeneous Finite Groups". Journal of the London Mathematical Society 62, n.º 3 (dezembro de 2000): 784–94. http://dx.doi.org/10.1112/s0024610700001484.

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13

Blackburn, Norman, Marian Deaconescu e Avinoam Mann. "Finite equilibrated groups". Mathematical Proceedings of the Cambridge Philosophical Society 120, n.º 4 (novembro de 1996): 579–88. http://dx.doi.org/10.1017/s0305004100001560.

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If H, K are subgroups of a group G, then HK is a subgroup of G if and only if HK = KH. This condition certainly holds if H ≤ NG(K) or K ≤ NG(H). But the majority of groups can also be expressed as HK, where neither H nor K is normal. In this paper we consider groups G for which no subgroup G1 can be expressed as the product of non-normal subgroups of G1. Such a group is said to be equilibrated. Thus G is equilibrated if and only if either H ≤ NG(K) or K ≤ NG(H) whenever H, K and HK are subgroups of G.

14

Heineken, Hermann. "Finite complete groups". Rendiconti del Seminario Matematico e Fisico di Milano 54, n.º 1 (dezembro de 1985): 29–34. http://dx.doi.org/10.1007/bf02924848.

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15

Starostin, A. I. "Finite p-groups". Journal of Mathematical Sciences 88, n.º 4 (fevereiro de 1998): 559–85. http://dx.doi.org/10.1007/bf02365317.

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16

Myl’nikov, A. L. "Finite tangled groups". Siberian Mathematical Journal 48, n.º 2 (março de 2007): 295–99. http://dx.doi.org/10.1007/s11202-007-0030-4.

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17

Myasnikov, Alexei, e Denis Osin. "Algorithmically finite groups". Journal of Pure and Applied Algebra 215, n.º 11 (novembro de 2011): 2789–96. http://dx.doi.org/10.1016/j.jpaa.2011.03.019.

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18

Huang, Hua-Lin, Yuping Yang e Yinhuo Zhang. "On nondiagonal finite quasi-quantum groups over finite abelian groups". Selecta Mathematica 24, n.º 5 (7 de junho de 2018): 4197–221. http://dx.doi.org/10.1007/s00029-018-0420-4.

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19

Reid, J. D. "On Finite Groups and Finite Fields". American Mathematical Monthly 98, n.º 6 (junho de 1991): 549. http://dx.doi.org/10.2307/2324878.

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20

WILSON, JOHN S. "FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS". Journal of the London Mathematical Society 74, n.º 03 (dezembro de 2006): 566–82. http://dx.doi.org/10.1112/s0024610706023106.

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21

Lubotzky, Alexander, e Avinoam Mann. "Residually finite groups of finite rank". Mathematical Proceedings of the Cambridge Philosophical Society 106, n.º 3 (novembro de 1989): 385–88. http://dx.doi.org/10.1017/s0305004100068110.

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The recent constructions, by Rips and Olshanskii, of infinite groups with all proper subgroups of prime order, and similar ‘monsters’, show that even under the imposition of apparently very strong finiteness conditions, the structure of infinite groups can be rather weird. Thus it seems reasonable to impose the type of condition that enables us to apply the theory of finite groups. Two such conditions are local finiteness and residual finiteness, and here we are interested in the latter. Specifically, we consider residually finite groups of finite rank, where a group is said to have rank r, if all finitely generated subgroups of it can be generated by r elements. Recall that a group is said to be virtually of some property, if it has a subgroup of finite index with this property. We prove the following result:Theorem 1. A residually finite group of finite rank is virtually locally soluble.

22

Reid, J. D. "On Finite Groups and Finite Fields". American Mathematical Monthly 98, n.º 6 (junho de 1991): 549–51. http://dx.doi.org/10.1080/00029890.1991.11995756.

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23

Wei, X., A. Kh Zhurtov, D. V. Lytkina e V. D. Mazurov. "Finite groups close to Frobenius groups". Sibirskii matematicheskii zhurnal 60, n.º 5 (30 de agosto de 2019): 1035–40. http://dx.doi.org/10.33048/smzh.2019.60.504.

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24

Sozutov, A. I. "Groups Saturated with Finite Frobenius Groups". Mathematical Notes 109, n.º 1-2 (janeiro de 2021): 270–79. http://dx.doi.org/10.1134/s0001434621010314.

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25

Wei, X., A. Kh Zhurtov, D. V. Lytkina e V. D. Mazurov. "Finite Groups Close to Frobenius Groups". Siberian Mathematical Journal 60, n.º 5 (setembro de 2019): 805–9. http://dx.doi.org/10.1134/s0037446619050045.

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26

Lubotzky, Alexander, e Avinoam Mann. "Powerful p-groups. I. Finite groups". Journal of Algebra 105, n.º 2 (fevereiro de 1987): 484–505. http://dx.doi.org/10.1016/0021-8693(87)90211-0.

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27

Lytkina, D. V. "Groups saturated by finite simple groups". Algebra and Logic 48, n.º 5 (setembro de 2009): 357–70. http://dx.doi.org/10.1007/s10469-009-9063-z.

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28

Pettet, Martin R. "Locally finite groups as automorphism groups". Archiv der Mathematik 48, n.º 1 (janeiro de 1987): 1–9. http://dx.doi.org/10.1007/bf01196346.

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29

Bandman, Tatiana, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskii, Gerhard Pfister e Eugene Plotkin. "Identities for finite solvable groups and equations in finite simple groups". Compositio Mathematica 142, n.º 03 (maio de 2006): 734–64. http://dx.doi.org/10.1112/s0010437x0500179x.

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30

Kozhukhov, S. F. "FINITE AUTOMORPHISM GROUPS OF TORSION-FREE ABELIAN GROUPS OF FINITE RANK". Mathematics of the USSR-Izvestiya 32, n.º 3 (30 de junho de 1989): 501–21. http://dx.doi.org/10.1070/im1989v032n03abeh000778.

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31

Zimmerman, Jay. "Finite Groups Which are Automorphism Groups of Infinite Groups Only". Canadian Mathematical Bulletin 28, n.º 1 (1 de março de 1985): 84–90. http://dx.doi.org/10.4153/cmb-1985-008-4.

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AbstractThe object of this paper is to exhibit an infinite set of finite semisimple groups H, each of which is the automorphism group of some infinite group, but of no finite group. We begin the construction by choosing a finite simple group S whose outer automorphism group and Schur multiplier possess certain specified properties. The group H is a certain subgroup of Aut S which contains S. For example, most of the PSL's over a non-prime finite field are candidates for S, and in this case, H is generated by all of the inner, diagonal and graph automorphisms of S.

32

Borovik, Alexandre, e Ulla Karhumäki. "Locally finite groups of finite centralizer dimension". Journal of Group Theory 22, n.º 4 (1 de julho de 2019): 729–40. http://dx.doi.org/10.1515/jgth-2018-0109.

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33

Durakov, B. E., e A. I. Sozutov. "On Periodic Groups Saturated with Finite Frobenius Groups". Bulletin of Irkutsk State University. Series Mathematics 35 (2021): 73–86. http://dx.doi.org/10.26516/1997-7670.2021.35.73.

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A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $\mathfrak{X}$ is some set of finite groups, then the group $G$ saturated with groups from the set $\mathfrak{X}$ if any finite subgroup of $G$ is contained in a subgroup of $G$, isomorphic to some group from $\mathfrak{X}$. A group $G = F \leftthreetimes H$ is a Frobenius group with kernel $F$ and a complement $H$ if $H \cap H^f = 1$ for all $f \in F^{\#}$ and each element from $G \setminus F$ belongs to a one conjugated to $H$ subgroup of $G$. In the paper we prove that a saturated with finite Frobenius groups periodic weakly conjugate biprimitive finite group with a nontrivial locally finite radical is a Frobenius group. A number of properties of such groups and their quotient groups by a locally finite radical are found. A similar result was obtained for binary finite groups with the indicated conditions. Examples of periodic non locally finite groups with the properties above are given, and a number of questions on combinatorial group theory are raised.

34

Asboei, A. K., e S. S. Salehi. "Some results on the main supergraph of finite groups". Algebra and Discrete Mathematics 30, n.º 2 (2020): 172–78. http://dx.doi.org/10.12958/adm584.

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Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x)∣o(y) or o(y)∣o(x). In this paper, we will show that G≅PSL(2,p) or PGL(2,p) if and only if S(G)≅S(PSL(2,p)) or S(PGL(2,p)), respectively. Also, we will show that if M is a sporadic simple group, then G≅M if only if S(G)≅S(M).

35

Kong, Qingjun. "Finite Groups with Two Class Sizes of Some Elements". Mathematical Journal of Interdisciplinary Sciences 2, n.º 2 (3 de março de 2014): 191–93. http://dx.doi.org/10.15415/mjis.2014.22015.

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36

Fasfous, W. N. T., R. Sharafdini e R. K. Nath. "Common neighborhood spectrum of commuting graphs of finite groups". Algebra and Discrete Mathematics 32, n.º 1 (2021): 33–48. http://dx.doi.org/10.12958/adm1332.

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The commuting graph of a finite non-abelian group G with center Z(G), denoted by Γc(G), is a simple undirected graph whose vertex set is G∖Z(G), and two distinct vertices x and y are adjacent if and only if xy=yx. In this paper, we compute the common neighborhood spectrum of commuting graphs of several classes of finite non-abelian groups and conclude that these graphs are CN-integral.

37

Chen, X. Y., A. R. Moghaddamfar e M. Zohourattar. "Some properties of various graphs associated with finite groups". Algebra and Discrete Mathematics 31, n.º 2 (2021): 195–211. http://dx.doi.org/10.12958/adm1197.

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In this paper we investigate some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it is shown that the simple group L2(7) can be characterized through the tree-number of its power graph. Moreover, the classification of groups with power-free decomposition is presented. Finally, we obtain an explicit formula concerning the tree-number of commuting graphs associated with the Suzuki simple groups.

38

Semko, N. N., L. V. Skaskiv e O. A. Yarovaya. "Linear groups saturated by subgroups of finite central dimension". Algebra and Discrete Mathematics 29, n.º 1 (2020): 117–28. http://dx.doi.org/10.12958/adm1317.

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39

Stocka, A. "Sets of prime power order generators of finite groups". Algebra and Discrete Mathematics 29, n.º 1 (2020): 129–38. http://dx.doi.org/10.12958/adm1479.

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40

Adarchenko, N. M. "A new characterization of finite σ-soluble PσT-groups". Algebra and Discrete Mathematics 29, n.º 1 (2020): 33–41. http://dx.doi.org/10.12958/adm1530.

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41

Cheung, K., e M. Mosca. "Decomposing finite Abelian groups". Quantum Information and Computation 1, n.º 3 (outubro de 2001): 26–32. http://dx.doi.org/10.26421/qic1.3-2.

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This paper describes a quantum algorithm for efficiently decomposing finite Abelian groups into a product of cyclic groups. Such a decomposition is needed in order to apply the Abelian hidden subgroup algorithm. Such a decomposition (assuming the Generalized Riemann Hypothesis) also leads to an efficient algorithm for computing class numbers (known to be at least as difficult as factoring).

42

Leavitt, J. L., G. J. Sherman e M. E. Walker. "Rewriteability in Finite Groups". American Mathematical Monthly 99, n.º 5 (maio de 1992): 446. http://dx.doi.org/10.2307/2325089.

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43

Witbooi, Peter. "Finite images of groups". Quaestiones Mathematicae 23, n.º 3 (setembro de 2000): 279–85. http://dx.doi.org/10.2989/16073600009485977.

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44

Gil, Antoni, e José R. Martínez. "Mutations in finite groups". Bulletin of the Belgian Mathematical Society - Simon Stevin 1, n.º 4 (1994): 491–506. http://dx.doi.org/10.36045/bbms/1103408606.

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45

Huang, J., B. Hu e A. N. Skiba. "Finite generalized soluble groups". Algebra i logika 58, n.º 2 (9 de julho de 2019): 252–70. http://dx.doi.org/10.33048/alglog.2019.58.207.

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46

Chuang, Joseph, Markus Linckelmann, Gunter Malle e Jeremy Rickard. "Representations of Finite Groups". Oberwolfach Reports 9, n.º 1 (2012): 963–1019. http://dx.doi.org/10.4171/owr/2012/16.

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47

Chuang, Joseph, Meinolf Geck, Markus Linckelmann e Gabriel Navarro. "Representations of Finite Groups". Oberwolfach Reports 12, n.º 2 (2015): 971–1027. http://dx.doi.org/10.4171/owr/2015/18.

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48

Chuang, Joseph, Meinolf Geck, Radha Kessar e Gabriel Navarro. "Representations of Finite Groups". Oberwolfach Reports 16, n.º 1 (26 de fevereiro de 2020): 841–95. http://dx.doi.org/10.4171/owr/2019/14.

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49

Sun, Zhi-Wei. "Finite coverings of groups". Fundamenta Mathematicae 134, n.º 1 (1990): 37–53. http://dx.doi.org/10.4064/fm-134-1-37-53.

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50

Chupordia, V. A. "On finite-finitary groups". Researches in Mathematics 15 (15 de fevereiro de 2021): 154. http://dx.doi.org/10.15421/240723.

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