Results 11 to 20 of about 6,235 (209)
Solvable conjugacy class graph of groups [PDF]
Discrete Mathematics, 2021 In this paper we introduce the graph $\Gamma_{sc}(G)$ associated with a group $G$, called the solvable conjugacy class graph (abbreviated as SCC-graph), whose vertices are the nontrivial conjugacy classes of $G$ and two distinct conjugacy classes $C, D ...
Parthajit Bhowal +3 more
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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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Linear Groups with Restricted Conjugacy Classes [PDF]
Ricerche di Matematica, 2021 AbstractIn this paper we characterize, in terms of their conjugacy classes, linear groups G such that $$G/\zeta _k(G)$$ G / ζ k ( G
de Giovanni F. +2 more
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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 $α,β\in S_n$, we prove that the product $α^{S_n}β^{S_n}$ of the conjugacy classes $α^{S_n}$ and $β^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $α^{S_n}β^{S_n}$ is the union of at least three distinct conjugacy ...
Adan-Bante, Edith, Verrill, Helena
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The transitivity of primary conjugacy in regular ω-semigroups
Open Mathematics, 2022 The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
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Counting conjugacy classes in groups with contracting elements [PDF]
Journal of Topology, 2018 In this paper, we derive an asymptotic formula for the number of conjugacy classes of elements in a class of statistically convex‐cocompact actions with contracting elements.
Ilya Gekhtman, Wen-yuan Yang
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Remarks on weak amalgamation and large conjugacy classes in non-archimedean groups [PDF]
Archive for Mathematical Logic, 2019 We study the notion of weak amalgamation in the context of diagonal conjugacy classes. Generalizing results of Kechris and Rosendal, we prove that for every countable structure M, Polish group G of permutations of M, and n≥1\documentclass[12pt]{minimal} \
Maciej Malicki
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Extending Snow’s algorithm for computations in the finite Weyl groups
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 In 1990, D. Snow proposed an effective algorithm for computing the orbits of finite Weyl groups. Snow’s algorithm is designed for computation of weights, W-orbits, and elements of the Weyl group. An extension of Snow’s algorithm is proposed, which allows
Rafael Stekolshchik
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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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On the number of conjugacy classes of finite nilpotent groups
Advances in Mathematics, 2011 Andres Jaikin Zapirain
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