Results 21 to 30 of about 3,682,623 (208)
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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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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Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Liu Y +6 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 $ , \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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Topological conjugacy of n-multiple Cartesian products of circle rough transformations [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 It is known from the 1939 work of A. G. Mayer that rough transformations of the circle are limited to the diffeomorphisms of Morse – Smale. A topological conjugacy class of orientation-preserving diffeomorphism is entirely determined by its ...
Golikova, Iuliana Viktorovna +1 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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The Class Equation and the Commutativity Degree for Complete Hypergroups
Mathematics, 2020 The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the ...
Andromeda Cristina Sonea, Irina Cristea
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Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 more
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