Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups

Everett, Alistaire and Rowley, Peter (2010) Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups. [MIMS Preprint]

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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 � X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 4-dimensional projective symplectic group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	Projective Symplectic Groups; Involutions; Commuting Involution Graphs
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Mr Alistaire Everett
Date Deposited:	17 Jan 2011
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1564

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