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INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE

Published online by Cambridge University Press:  01 December 2008

ALICE DEVILLERS
Affiliation:
Université Libre de Bruxelles, Département de Mathématiques, Géométrie – CP 216, Boulevard du Triomphe, B-1050 Bruxelles, Belgium (email: [email protected])
MICHAEL GIUDICI*
Affiliation:
School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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An S3-involution graph for a group G is a graph with vertex set a union of conjugacy classes of involutions of G such that two involutions are adjacent if they generate an S3-subgroup in a particular set of conjugacy classes. We investigate such graphs in general and also for the case where G=PSL(2,q).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2009

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