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

Volume 85
Issue 03 - Dec 2008
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INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE

ALICE DEVILLERS and MICHAEL GIUDICI (2008).
Journal of the Australian Mathematical Society, Volume 85, Issue 03, December 2008 pp 305-322 http://journals.cambridge.org/action/displayAbstract?aid=3983732

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Journal of the Australian Mathematical Society (2008), 85 : 305-322 Cambridge University Press

doi:10.1017/S1446788708000839 (About doi)

Published online by Cambridge University Press 11 Feb 2009

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Journal of the Australian Mathematical Society (2008), 85:305-322 Cambridge University Press

doi:10.1017/S1446788708000839

Research Article

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

ALICE DEVILLERS^a1 and MICHAEL GIUDICI^a2 ^c1

^a1Université Libre de Bruxelles, Département de Mathématiques, Géométrie – CP 216, Boulevard du Triomphe, B-1050 Bruxelles, Belgium (email: adevil@ulb.ac.be)

^a2School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia (email: giudici@maths.uwa.edu.au)

Article author query

devillers a

giudici m

Abstract

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).

(Received November 27 2007)

(Accepted May 20 2008)

2000 Mathematics subject classification20B25; 05C25

Keywords and phrasesgraphs; groups; involutions

Correspondence:

^c1 For correspondence; e-mail: giudici@maths.uwa.edu.au

Footnotes

Dedicated to Cheryl Praeger for her sixtieth birthday

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