Everett, Alistaire (2011) Commuting Involution Graphs of Certain Finite Simple Classical Groups. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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Abstract
For a group G and X a subset of G, the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x is not equal to y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This thesis studies C(G,X) when G is either a 4dimensional projective symplectic group; a 3dimensional unitary group; 4dimensional unitary group over a field of characteristic 2; a 2dimensional projective general linear group; or a 4dimensional affine orthogonal group, and X a Gconjugacy class of involutions. We determine the diameters and structure of the discs of these graphs.
Item Type:  Thesis (Doctoral) 

Uncontrolled Keywords:  Commuting Involution Graphs, Involutions, Symplectic Groups, Unitary Groups, Affine Orthogonal Groups, Projective General Linear Groups 
Subjects:  MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations 
Depositing User:  Mr Alistaire Everett 
Date Deposited:  29 Jun 2011 
Last Modified:  20 Oct 2017 14:12 
URI:  http://eprints.maths.manchester.ac.uk/id/eprint/1640 
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Commuting Involution Graphs of Certain Finite Simple Classical Groups. (deposited 02 Mar 2011)
 Commuting Involution Graphs of Certain Finite Simple Classical Groups. (deposited 29 Jun 2011) [Currently Displayed]
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