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...
Main Author: | Cassell, Eleanor Jane |
---|---|
Published: |
University of Birmingham
2013
|
Subjects: | |
Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.583158 |
Similar Items
-
Commutators and conjugacy in groups
by: Rodney, David
Published: (1974) -
Asymptotics in conjugacy classes for free groups
by: Kenison, George
Published: (2017) -
The Laplacian energy of conjugacy class graph of some finite groups
by: Mahmoud, Rabiha, et al.
Published: (2019) -
Conjugacy and subgroups of word-hyperbolic groups
by: Buckley, David John
Published: (2010) -
Conjugacy classes and graphs of two-groups of nilpotency class two
by: Ilangovan, Sheila
Published: (2013)