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The Chamber Graph of the M24 Maximal 2-Local Geometry

Published online by Cambridge University Press:  01 February 2010

Peter Rowley
Peter Rowley
Affiliation:
School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9JL, United Kingdom

Abstract

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The chamber graph of the maximal 2-local geometry for M24, the Mathieu group of degree 24, is analysed extensively. In addition to determining the discs around a fixed chamber of the chamber graph, the geodesic closure of an opposite pair of chambers is investigated.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 12 , 2009 , pp. 120 - 143
Copyright
Copyright © London Mathematical Society 2009

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