On conjugacy classes of Sn containing all irreducibles
Sign Up to like & getrecommendations! Published in 2018 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1659-3
Abstract: It is shown that for the conjugation action of the symmetric group Sn, when n = 6 or n ≥ 8, all Sn-irreducibles appear as constituents of a single conjugacy class, namely, one indexed by… read more here.
Keywords: containing irreducibles; conjugacy classes; conjugacy; classes containing ... See more keywords
A Note on the Conjugacy from Farey Map to the Skew Tent Map
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0505-9
Abstract: This note investigates the conjugacy from Farey map to the skew tent map. We present two explicit expressions of the conjugacy with two kinds of representations for real numbers, and estimate the Hölder exponent of… read more here.
Keywords: tent map; conjugacy; map skew; conjugacy farey ... See more keywords
BOUNDED CONJUGACY CLASSES AND CONJUGACY CLASSES SUPPORTING INVARIANT MEASURES AND AUTOMORPHISMS
Sign Up to like & getrecommendations! Published in 2025 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972724001266
Abstract: 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 G is a metabelian group,… read more here.
Keywords: conjugacy; classes supporting; classes conjugacy; conjugacy classes ... See more keywords
Branching rules for unitary and symplectic matrices
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1726366
Abstract: Abstract This paper concerns the enumeration of simultaneous conjugacy classes of tuples of commuting unitary matrices and of commuting symplectic matrices over a finite field of odd size. For any given conjugacy class, the orbits… read more here.
Keywords: symplectic matrices; conjugacy; branching rules; unitary symplectic ... See more keywords
On EPO-groups with a given property on their conjugacy classes
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1982956
Abstract: Abstract Let G be a finite group and V(G) be the set of all non-central conjugacy classes of G. Consider the conjugacy class graph of G which is defined as follows: its vertex set is… read more here.
Keywords: conjugacy; property conjugacy; conjugacy classes; given property ... See more keywords
On p -parts of conjugacy class sizes and the index of the p -core
Sign Up to like & getrecommendations! Published in 2025 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2578217
Abstract: For a prime $p$ and an arbitrary finite group $G$, we show that if $p^{2}$ does not divide the size of each conjugacy class of \emph{$p$-regular} element (element of order not divisible by $p$) in… read more here.
Keywords: conjugacy; parts conjugacy; index; conjugacy class ... See more keywords
A note on conjugacy of supplements in soluble periodic linear groups
Sign Up to like & getrecommendations! Published in 2024 at "Forum Mathematicum"
DOI: 10.1515/forum-2024-0102
Abstract: Abstract The aim of this short note is to prove that if G is a (homomorphic images of a) soluble periodic linear group and N is a locally nilpotent normal subgroup of G such that… read more here.
Keywords: conjugacy supplements; conjugacy; note conjugacy; periodic linear ... See more keywords
Detecting conjugacy stability of subgroups in certain classes of groups
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Group Theory"
DOI: 10.1515/jgth-2020-0133
Abstract: Abstract In this paper, we consider the conjugacy stability property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we start with free groups, that is, we… read more here.
Keywords: conjugacy; detecting conjugacy; stability subgroups; conjugacy stability ... See more keywords