Results 11 to 20 of about 3,682,623 (208)
Conjugacy Class Sizes in Affine Semi-linear Groups [PDF]
Advances in Group Theory and Applications, 2020 The aim of this work is to study the structure and sizes of conjugacy classes in certain affine semi-linear groups. This provides a wealth of finite groups of small conjugate rank that are solvable and non-nilpotent.
Hossein Shahrtash
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Choquet-Deny groups and the infinite conjugacy class property [PDF]
Annals of Mathematics, 2018 A countable discrete group $G$ is called Choquet-Deny if for every non-degenerate probability measure $\mu$ on $G$ it holds that all bounded $\mu$-harmonic functions are constant. We show that a finitely generated group $G$ is Choquet-Deny if and only if
Joshua Frisch +3 more
semanticscholar +1 more source
One-prime power hypothesis for conjugacy class sizes [PDF]
International Journal of Group Theory, 2017 A finite group $G$ satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes $m$ and $n$ are either equal or have a common divisor a prime power. Taeri conjectured that an insoluble group satisfying this condition
Alan Camina, Rachel Camina
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From conjugacy classes in the Weyl group to semisimple conjugacy classes [PDF]
Pure and Applied Mathematics Quarterly, 2021 Suppose $G$ is a connected complex semisimple group and $W$ is its Weyl group. The lifting of an element of $W$ to $G$ is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of $W$ to the set of semisimple conjugacy classes of $G$. In this paper, we give a uniform algorithm to compute this map.
Adams, Jeffrey, He, Xuhua, Nie, Sian
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Strong amenability and the infinite conjugacy class property [PDF]
Inventiones Mathematicae, 2018 A group is said to be strongly amenable if each of its proximal topological actions has a fixed point. We show that a finitely generated group is strongly amenable if and only if it is virtually nilpotent.
Joshua Frisch +2 more
semanticscholar +1 more source
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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On groups where the twisted conjugacy class of the unit element is a subgroup [PDF]
Communications in Algebra, 2017 We study groups G where the -conjugacy class of the unit element is a subgroup of G for every automorphism of G. If G has n generators, then we prove that the k-th member of the lower central series has a finite verbal width bounded in terms of n, k ...
D. Gonçalves, T. Nasybullov
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Cohomological equation and local conjugacy class of Diophantine interval exchange maps [PDF]
Proceedings of the American Mathematical Society, 2017 We extend some results of Marmi--Moussa--Yoccoz on the cohomological equations and local conjugacy classes of interval exchange maps of restricted Roth type.
G. Forni, S. Marmi, C. Matheus
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