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Commuting involution graphs for sporadic simple groups

Bates, C. and Bundy, D. and Hart, Sarah B. and Rowley, P.J. (2007) Commuting involution graphs for sporadic simple groups. Journal of Algebra 316 (2), 849 - 868. ISSN 0021-8693.

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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2007.04.019

Abstract

Let Kless-than-or-equals, slantGless-than-or-equals, slantAut(K), where K is one of the 26 sporadic finite simple groups, and let tset membership, variantG be an involution and X=tG. The commuting involution graph View the MathML source has X as its vertex set with two distinct elements of X joined by an edge whenever they commute in G. For most of the sporadic simple groups, we compute the diameter of View the MathML source and give detailed information about the elements at a given distance from a fixed involution t.

Item Type: Article
Additional Information: Computational Algebra
Keyword(s) / Subject(s): Commuting involution graph, sporadic simple group
School or Research Centre: Birkbeck Schools and Research Centres > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
Depositing User: Administrator
Date Deposited: 09 Aug 2011 11:28
Last Modified: 17 Apr 2013 12:21
URI: http://eprints.bbk.ac.uk/id/eprint/3954

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