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