Conjugacy classes in finite groups, commuting graphs and character degrees

In the first half of this thesis we determine the connectivity of commuting graphs of conjugacy classes of semisimple and some unipotent elements in GL(n,q). In the second half we prove that the degree of an irreducible character of a finite simple group divides the size of some conjugacy class of t...

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Main Author:	Cassell, Eleanor Jane
Published:	University of Birmingham 2013
Subjects:	510 QA Mathematics
Online Access:	https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.583158

id	ndltd-bl.uk-oai-ethos.bl.uk-583158
record_format	oai_dc
spelling	ndltd-bl.uk-oai-ethos.bl.uk-5831582019-04-03T06:28:28ZConjugacy classes in finite groups, commuting graphs and character degreesCassell, Eleanor Jane2013In the first half of this thesis we determine the connectivity of commuting graphs of conjugacy classes of semisimple and some unipotent elements in GL(n,q). In the second half we prove that the degree of an irreducible character of a finite simple group divides the size of some conjugacy class of the group.510QA MathematicsUniversity of Birminghamhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.583158http://etheses.bham.ac.uk//id/eprint/4628/Electronic Thesis or Dissertation
collection	NDLTD
sources	NDLTD
topic	510 QA Mathematics
spellingShingle	510 QA Mathematics Cassell, Eleanor Jane Conjugacy classes in finite groups, commuting graphs and character degrees
description	In the first half of this thesis we determine the connectivity of commuting graphs of conjugacy classes of semisimple and some unipotent elements in GL(n,q). In the second half we prove that the degree of an irreducible character of a finite simple group divides the size of some conjugacy class of the group.
author	Cassell, Eleanor Jane
author_facet	Cassell, Eleanor Jane
author_sort	Cassell, Eleanor Jane
title	Conjugacy classes in finite groups, commuting graphs and character degrees
title_short	Conjugacy classes in finite groups, commuting graphs and character degrees
title_full	Conjugacy classes in finite groups, commuting graphs and character degrees
title_fullStr	Conjugacy classes in finite groups, commuting graphs and character degrees
title_full_unstemmed	Conjugacy classes in finite groups, commuting graphs and character degrees
title_sort	conjugacy classes in finite groups, commuting graphs and character degrees
publisher	University of Birmingham
publishDate	2013
url	https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.583158
work_keys_str_mv	AT casselleleanorjane conjugacyclassesinfinitegroupscommutinggraphsandcharacterdegrees
_version_	1719012892216393728

Conjugacy classes in finite groups, commuting graphs and character degrees

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