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2010.67: Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups

2010.67: Alistaire Everett and Peter Rowley (2010) Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups.

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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 2000 > 20 Group theory and generalizations
MIMS number:2010.67
Deposited By:Mr Alistaire Everett
Deposited On:17 January 2011

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