Conjugacy classes - Open Access .click

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Twisted conjugacy classes in general and special linear groups

Algebra and Logic, 2012
T. Nasybullov
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Conjugacy classes and centralizers for pivotal fusion categories

Monatshefte für Mathematik (Print), 2019
A criterion for the Müger centralizer of a fusion subcategory of a braided non-degenerate fusion category is given. Along the way we extend some identities on the space of class functions of a fusion category introduced by Shimizu (J Pure Appl Algebra ...
S. Burciu
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Mutually permutable products and conjugacy classes

Monatshefte für Mathematik, 2013
Let $G$ be a group, two subgroups $H$ and $K$ of $G$ are `permutable' if the set $HK$ is a subgroup of $G$, they are `mutually permutable' if $H$ permutes with every subgroup of $K$ and $K$ permutes with every subgroup of $H$. Let the (finite) group $G=G_1G_2\cdots G_r$ be the product of pairwise permutable subgroups \(G_1,G_2 ...
A. Ballester-Bolinches, J. Cossey, Yangming Li +2 more
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Conjugacy Classes and Class Number

Integers, 2009
AbstractIt is shown that the conjugacy classes of integral matrices with a given irreducible characteristic polynomial is in bijection with the class group of a corresponding order in an algebraic number field.
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Groups with few conjugacy classes

Proceedings of the Edinburgh Mathematical Society, 2011
AbstractLet G be a finite group, let p be a prime divisor of the order of G and let k(G) be the number of conjugacy classes of G. By disregarding at most finitely many non-solvable p-solvable groups G, we have $k(G)\geq2\smash{\sqrt{p-1}}$ with equality if and only if if $\smash{\sqrt{p-1}}$ is an integer, $G=C_{p}\rtimes\smash{C_{\sqrt{p-1}}}$ and CG ...
Héthelyi, László +3 more
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Conjugacy class numbers and π-subgroups

Pacific Journal of Mathematics, 2021
The number $l(G)$ of $p$-regular classes of a finite group $G$ is a key invariant in modular representation theory. The main question is wether $l(G)$ can be bounded by the number of conjugacy classes of some subgroup of $G$ of order not divisible by $p$. This would have consequences for the Malle-Robinson $l(B)$-conjecture. In this paper,
Malle, Gunter +2 more
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Representations of Quantum Conjugacy Classes of Orthosymplectic Groups

, 2015
Let G be the complex symplectic or special orthogonal group and let ɡ be its Lie algebra. With every point x of the maximal torus T ⊂ G we associate a highest weight module Mx over the Drinfeld–Jimbo quantum group Uq(ɡ) and a quantization of the ...
T. Ashton, A. Mudrov
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On conjugacy classes in a reductive group

, 2013
Let G be a connected reductive group over an algebraically closed field. We define a decomposition of G into finitely many strata such that each stratum is a union of conjugacy classes of fixed dimension; the strata are indexed purely in terms of the ...
G. Lusztig
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COUNTING CONJUGACY CLASSES IN

Bulletin of the Australian Mathematical Society, 2018
We show that if a finitely generated group$G$has a nonelementary WPD action on a hyperbolic metric space$X$, then the number of$G$-conjugacy classes of$X$-loxodromic elements of$G$coming from a ball of radius$R$in the Cayley graph of$G$grows exponentially in$R$.
MICHAEL HULL, ILYA KAPOVICH
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Groups with bounded verbal conjugacy classes

Journal of Group Theory, 2006
Let $F$ be a free group, $w\in F$, $G_w$ be the set of all $w$-values in $G$ and let $w(G)$ be the verbal subgroup of $G$ corresponding to $w$ (i.e., $w(G)$ is the subgroup generated by $G_w$). A word $w$ is called boundedly concise if, for each group $G$ such that $|G_w|\leq m$, we have $|w(G)|\leq c$ for some integer $c$
Brazil, Sergio +2 more
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conjugacy class