2011.23: Commuting Involution Graphs of Certain Finite Simple Classical Groups
2011.23: Alistaire Everett (2011) Commuting Involution Graphs of Certain Finite Simple Classical Groups. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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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 4-dimensional projective symplectic group; a 3-dimensional unitary group; 4-dimensional unitary group over a field of characteristic 2; a 2-dimensional projective general linear group; or a 4-dimensional affine orthogonal group, and X a G-conjugacy class of involutions. We determine the diameters and structure of the discs of these graphs.
|Item Type:||Thesis (PhD)|
|Uncontrolled Keywords:||Commuting Involution Graphs, Involutions, Symplectic Groups, Unitary Groups, Affine Orthogonal Groups, Projective General Linear Groups|
|Subjects:||MSC 2000 > 20 Group theory and generalizations|
|Deposited By:||Mr Alistaire Everett|
|Deposited On:||29 June 2011|
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