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Journal articles on the topic 'Finite groups'

To see the other types of publications on this topic, follow the link: Finite groups.

Author: Grafiati

Published: 4 June 2021

Last updated: 11 March 2023

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1

A. Jund, Asaad, and Haval M. Mohammed Salih. "Result Involution Graphs of Finite Groups." Journal of Zankoy Sulaimani - Part A 23, no. 1 (June 20, 2021): 113–18. http://dx.doi.org/10.17656/jzs.10846.

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2

Zhang, Jinshan, Zhencai Shen, and Jiangtao Shi. "Finite groups with few vanishing elements." Glasnik Matematicki 49, no. 1 (June 8, 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, and A. I. Starostin. "Finite groups." Journal of Soviet Mathematics 44, no. 3 (February 1989): 237–318. http://dx.doi.org/10.1007/bf01676868.

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4

Andruskiewitsch, N., and G. A. García. "Extensions of Finite Quantum Groups by Finite Groups." Transformation Groups 14, no. 1 (November 18, 2008): 1–27. http://dx.doi.org/10.1007/s00031-008-9039-4.

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5

Conrad, Paul F., and Jorge Martinez. "Locally finite conditions on lattice-ordered groups." Czechoslovak Mathematical Journal 39, no. 3 (1989): 432–44. http://dx.doi.org/10.21136/cmj.1989.102314.

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6

Chen, Yuanqian, Paul Conrad, and Michael Darnel. "Finite-valued subgroups of lattice-ordered groups." Czechoslovak Mathematical Journal 46, no. 3 (1996): 501–12. http://dx.doi.org/10.21136/cmj.1996.127311.

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7

Kniahina, V. N., and V. S. Monakhov. "Finite groups with semi-subnormal Schmidt subgroups." Algebra and Discrete Mathematics 29, no. 1 (2020): 66–73. http://dx.doi.org/10.12958/adm1376.

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8

Cao, Jian Ji, and Xiu Yun Guo. "Finite NPDM-groups." Acta Mathematica Sinica, English Series 37, no. 2 (February 2021): 306–14. http://dx.doi.org/10.1007/s10114-021-8047-3.

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9

Burn, R. P., L. C. Grove, and C. T. Benson. "Finite Reflection Groups." Mathematical Gazette 70, no. 451 (March 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, no. 5 (September 1993): 505–6. http://dx.doi.org/10.1112/blms/25.5.505.

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11

MCIVER, ANNABELLE, and PETER M. NEUMANN. "ENUMERATING FINITE GROUPS." Quarterly Journal of Mathematics 38, no. 4 (1987): 473–88. http://dx.doi.org/10.1093/qmath/38.4.473.

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12

Cherlin, Gregory, and Ulrich Felgner. "Homogeneous Finite Groups." Journal of the London Mathematical Society 62, no. 3 (December 2000): 784–94. http://dx.doi.org/10.1112/s0024610700001484.

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13

Blackburn, Norman, Marian Deaconescu, and Avinoam Mann. "Finite equilibrated groups." Mathematical Proceedings of the Cambridge Philosophical Society 120, no. 4 (November 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, no. 1 (December 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, no. 4 (February 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, no. 2 (March 2007): 295–99. http://dx.doi.org/10.1007/s11202-007-0030-4.

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17

Myasnikov, Alexei, and Denis Osin. "Algorithmically finite groups." Journal of Pure and Applied Algebra 215, no. 11 (November 2011): 2789–96. http://dx.doi.org/10.1016/j.jpaa.2011.03.019.

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18

Huang, Hua-Lin, Yuping Yang, and Yinhuo Zhang. "On nondiagonal finite quasi-quantum groups over finite abelian groups." Selecta Mathematica 24, no. 5 (June 7, 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, no. 6 (June 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, no. 03 (December 2006): 566–82. http://dx.doi.org/10.1112/s0024610706023106.

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21

Lubotzky, Alexander, and Avinoam Mann. "Residually finite groups of finite rank." Mathematical Proceedings of the Cambridge Philosophical Society 106, no. 3 (November 1989): 385–88. http://dx.doi.org/10.1017/s0305004100068110.

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Abstract:

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, no. 6 (June 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, and V. D. Mazurov. "Finite groups close to Frobenius groups." Sibirskii matematicheskii zhurnal 60, no. 5 (August 30, 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, no. 1-2 (January 2021): 270–79. http://dx.doi.org/10.1134/s0001434621010314.

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25

Wei, X., A. Kh Zhurtov, D. V. Lytkina, and V. D. Mazurov. "Finite Groups Close to Frobenius Groups." Siberian Mathematical Journal 60, no. 5 (September 2019): 805–9. http://dx.doi.org/10.1134/s0037446619050045.

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26

Lubotzky, Alexander, and Avinoam Mann. "Powerful p-groups. I. Finite groups." Journal of Algebra 105, no. 2 (February 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, no. 5 (September 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, no. 1 (January 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, and Eugene Plotkin. "Identities for finite solvable groups and equations in finite simple groups." Compositio Mathematica 142, no. 03 (May 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, no. 3 (June 30, 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, no. 1 (March 1, 1985): 84–90. http://dx.doi.org/10.4153/cmb-1985-008-4.

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Abstract:

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, and Ulla Karhumäki. "Locally finite groups of finite centralizer dimension." Journal of Group Theory 22, no. 4 (July 1, 2019): 729–40. http://dx.doi.org/10.1515/jgth-2018-0109.

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33

Durakov, B. E., and 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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Abstract:

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., and S. S. Salehi. "Some results on the main supergraph of finite groups." Algebra and Discrete Mathematics 30, no. 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, no. 2 (March 3, 2014): 191–93. http://dx.doi.org/10.15415/mjis.2014.22015.

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36

Fasfous, W. N. T., R. Sharafdini, and R. K. Nath. "Common neighborhood spectrum of commuting graphs of finite groups." Algebra and Discrete Mathematics 32, no. 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, and M. Zohourattar. "Some properties of various graphs associated with finite groups." Algebra and Discrete Mathematics 31, no. 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, and O. A. Yarovaya. "Linear groups saturated by subgroups of finite central dimension." Algebra and Discrete Mathematics 29, no. 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, no. 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, no. 1 (2020): 33–41. http://dx.doi.org/10.12958/adm1530.

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41

Cheung, K., and M. Mosca. "Decomposing finite Abelian groups." Quantum Information and Computation 1, no. 3 (October 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, and M. E. Walker. "Rewriteability in Finite Groups." American Mathematical Monthly 99, no. 5 (May 1992): 446. http://dx.doi.org/10.2307/2325089.

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43

Witbooi, Peter. "Finite images of groups." Quaestiones Mathematicae 23, no. 3 (September 2000): 279–85. http://dx.doi.org/10.2989/16073600009485977.

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44

Gil, Antoni, and José R. Martínez. "Mutations in finite groups." Bulletin of the Belgian Mathematical Society - Simon Stevin 1, no. 4 (1994): 491–506. http://dx.doi.org/10.36045/bbms/1103408606.

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45

Huang, J., B. Hu, and A. N. Skiba. "Finite generalized soluble groups." Algebra i logika 58, no. 2 (July 9, 2019): 252–70. http://dx.doi.org/10.33048/alglog.2019.58.207.

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46

Chuang, Joseph, Markus Linckelmann, Gunter Malle, and Jeremy Rickard. "Representations of Finite Groups." Oberwolfach Reports 9, no. 1 (2012): 963–1019. http://dx.doi.org/10.4171/owr/2012/16.

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47

Chuang, Joseph, Meinolf Geck, Markus Linckelmann, and Gabriel Navarro. "Representations of Finite Groups." Oberwolfach Reports 12, no. 2 (2015): 971–1027. http://dx.doi.org/10.4171/owr/2015/18.

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48

Chuang, Joseph, Meinolf Geck, Radha Kessar, and Gabriel Navarro. "Representations of Finite Groups." Oberwolfach Reports 16, no. 1 (February 26, 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, no. 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 (February 15, 2021): 154. http://dx.doi.org/10.15421/240723.

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