Results 121 to 130 of about 2,545 (225)

𝑞-Conjugacy classes in loop groups [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
This paper discusses the twisted conjugacy classes in loop groups. We restrict to classical groups and give some explicit classifications.
openaire   +3 more sources

The conjugacy extension problem [PDF]

open access: yes, 2021
2021 Summer.Includes bibliographical references.In this dissertation, we consider R-conjugacy of integral matrices for various commutative rings R. An existence theorem of Guralnick states that integral matrices which are Zp-conjugate for every prime p ...
Pries, Rachel, committee member   +4 more
core  

A note on groups with many locally supersoluble subgroups [PDF]

open access: yesInternational Journal of Group Theory, 2015
It is proved here that if G is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then G is either locally supersoluble or a \vCernikov group.
Francesco de Giovanni   +1 more
doaj  

Point groups of order at most eight and their conjugacy class graphs [PDF]

open access: yes, 2017
Point group is a type of group in chemistry, which is a collection of symmetry elements possessed by a shape or form which all pass through one point in space. The stereographic projection is used to visualize the symmetry operations of point groups.
Abdul Rahman, Aqilah Farhana
core  

On the representation theory of the alternating groups [PDF]

open access: yesInternational Journal of Group Theory, 2013
We present the basic results on the representation theory of the alternating groups. Our approach is based on Clifford theory.
Tullio Ceccherini-Silberstein   +2 more
doaj  

Variations on a theorem by Alan Camina on conjugacy class sizes

open access: yes, 2006
Let G be a finite group. We extend Alan Camina's theorem on conjugacy class sizes which asserts that if the conjugacy class sizes of G are exactly {1,pa,qb,paqb} for two primes p and q, then G is nilpotent.
Beltrán, Antonio, Felipe, María José
core   +1 more source

GROUPS HAVING COMPLETE BIPARTITE DIVISOR GRAPHS FOR THEIR CONJUGACY CLASS SIZES

open access: yes, 2013
Given a finite group G, the bipartite divisor graph for its conjugacy class sizes is the bipartite graph with bipartition consisting of the set of conjugacy class sizes of G \ Z(G) (where Z(G) denotes the centre of G) and the set of prime numbers that ...
Pablo Spiga, Roghayeh Hafezieh
core  

Corrigendum to 'Conjugacy class size conditions which imply solvability'

open access: yes, 2014
This paper is a corrigendum to the paper( Kong, Q., Liu, Q., Conjugacy class size conditions which imply solvability, Bull.Aust.Math.Soc. \(88\), 297-300(2013).).
Liu, Q., Kong, Q.
core  

Graph products of groups [PDF]

open access: yes, 1990
In the 1970's Baudisch introduced the idea of the semifree group, that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups.
Green, E.R, Green, Elisabeth Ruth
core  

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