Results 21 to 30 of about 40,139 (202)
The conjugacy class ranks of $M_{24}$ [PDF]
International Journal of Group Theory, 2017 $M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {cdot} 3^3 {cdot} 5 {cdot} 7 {cdot} 11 {cdot} 23$ and contains all the other Mathieu sporadic simple groups as subgroups.
Zwelethemba Mpono
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The Projective Special Linear Group PSL(4,2). [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :The present study deals with conjugacy classes for the projective linear group. The study of conjugacy classes has a great and important role; in hand it is an introductory step to study the general linear group and also the maximal subgroup in it.We ...
Muthana A. Mahmood, Alaa Adnan Auad
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On finite groups with square-free conjugacy class sizes [PDF]
International Journal of Group Theory, 2018 We report on finite groups having square-free conjugacy class sizes, in particular in the framework of factorised groups.
Maria-Jose Felipe +2 more
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The one-prime power hypothesis for conjugacy classes restricted to normal subgroups and quotient groups [PDF]
International Journal of Group Theory, 2019 We say that a group $G$ satisfies the one-prime power hypothesis for conjugacy classes if the greatest common divisor for all pairs of distinct conjugacy class sizes are prime powers.
Julian Brough
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Groups with Černikov conjugacy classes [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractThe aim of this paper is to prove some embedding theorems for groups with Černikov conjugacy classes. Moreover a characterization of periodic central-by-Černikov groups is given.
DE GIOVANNI, FRANCESCO +2 more
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Conjugacy class conditions in locally compact second countable groups [PDF]
, 2015 Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Wesolek, Phillip
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Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$ [PDF]
Journal of Mahani Mathematical ResearchSuppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.
Mohammad Ali Salahshour +1 more
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Современная математика: Фундаментальные направления, 2022 Gradient-like flows on surfaces have simple dynamics, which inspired many mathematicians to search for invariants of their topological equivalence. Under assumptions of different generality on the class of gradient-like flows under consideration, such ...
V. E. Kruglov, O. V. Pochinka
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Symmetric groups and conjugacy classes [PDF]
Journal of Group Theory, 2008 Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $ , \in S_n$, we prove that the product $ ^{S_n} ^{S_n}$ of the conjugacy classes $ ^{S_n}$ and $ ^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $ ^{S_n} ^{S_n}$ is the union of at least three distinct ...
Adan-Bante, Edith, Verrill, Helena
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Groups with boundedly Černikov conjugacy classes
Advances in Group Theory and Applications, 2021 Summary: A relevant theorem of B. H. Neumann states that if a group \(G\) has boundedly finite conjugacy classes, then its commutator subgroup \(G'\) is finite. This result has been generalized in [\textit{E. Detomi} et al., Glasg. Math. J. 63, No. 1, 54--58 (2021; Zbl 1530.20084)], where it is proved in particular that if the orbits of a group \(G ...
M. De Falco +3 more
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