LAUSR

On conjugacy classes of Sn containing all irreducibles

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1 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

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1 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

Branching rules for unitary and symplectic matrices

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0 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

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1 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

Detecting conjugacy stability of subgroups in certain classes of groups

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1 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