Results 161 to 170 of about 3,682,623 (208)

BOUNDED CONJUGACY CLASSES AND CONJUGACY CLASSES SUPPORTING INVARIANT MEASURES AND AUTOMORPHISMS

Bulletin of the Australian Mathematical Society
Abstract We consider conjugacy classes in a locally compact group G that support finite G -invariant measures. If G is a property (M) extension of an abelian group, in particular, if
C. R. E. Raja
openaire   +2 more sources

Spectral aspects of commuting conjugacy class graph of finite groups

, 2020
The commuting conjugacy class graph of a non-abelian group $G$, denoted by $\mathcal{CCC}(G)$, is a simple undirected graph whose vertex set is the set of conjugacy classes of the non-central elements of $G$ and two distinct vertices $x^G$ and $y^G$ are ...
Parthajit Bhowal, R. K. Nath
semanticscholar   +1 more source

Determining group structure by set of conjugacy class sizes

, 2020
Let G be a finite group. Let further be three positive integers such that m1 and m2 do not divide each other and is coprime to m3. We prove that if the set of conjugacy class sizes of a finite group G is then where A and B are satisfying and with m3 a ...
C. Shao, Q. Jiang
semanticscholar   +1 more source

Central Limit Theorem for Peaks of a Random Permutation in a Fixed Conjugacy Class of $$S_n$$

Annals of Combinatorics, 2019
The number of peaks of a random permutation is known to be asymptotically normal. We give a new proof of this and prove a central limit theorem for the distribution of peaks in a fixed conjugacy class of the symmetric group.
Jason E. Fulman   +2 more
semanticscholar   +1 more source

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