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Conjugacy classes in finite groups, commuting graphs and character degrees

Cassell, Eleanor Jane (2013)
Ph.D. thesis, University of Birmingham.

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Abstract

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.

Type of Work:Ph.D. thesis.
Supervisor(s):Parker, Christopher
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics
Subjects:QA Mathematics
Institution:University of Birmingham
ID Code:4628
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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