Results 11 to 20 of about 4,080,638 (238)
Powers of conjugacy classes in a finite group [PDF]
Annali Di Matematica Pura Ed Applicata, 2019 The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of
A. Beltrán +3 more
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Groups with boundedly Černikov conjugacy classes [PDF]
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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Group extensions with infinite conjugacy classes [PDF]
Confluentes Mathematici, 2012 We characterize the group property of being with infinite conjugacy classes (or icc, i.e. infinite and of which all conjugacy classes except {1} are infinite) for groups which are defined by an extension of groups.
Jean-Philippe Pr'eaux
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On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]
Mathematics Interdisciplinary Research, 2018 The (undirected) power graph on the conjugacy classes PC(G) of a group G is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
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COPRIME CONJUGACY CLASS SIZES [PDF]
Asian-European Journal of Mathematics, 2009 We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Camina, A. R., Camina, R. D.
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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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Central limit theorem for descents in conjugacy classes of Sn [PDF]
Journal of Combinatorial Theory, 2018 The distribution of descents in fixed conjugacy classes of $S_n$ has been studied, and it is shown that its moments have interesting properties.
Gene B. Kim, Sangchul Lee
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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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Conjugacy classes and automorphisms of twin groups [PDF]
, 2019 The twin group T n {T_{n}} is a right-angled Coxeter group generated by n - 1 {n-1} involutions, and the pure twin group PT n {\mathrm{PT}_{n}} is the kernel of the natural surjection from T n {T_{n}} onto the symmetric group on n symbols. In this paper,
Tushar Kanta Naik +2 more
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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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