Low Rank Representations and Graphs for Sporadic Groups (Paperback)

This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple groups and their automorphism groups, together with a comprehensive study of the vertex-transitive graphs associated with these representations. Included is a list of all vertex-transitive, distance-regular graphs on which a sporadic almost simple group acts with rank at most five. In this list are some new, interesting distance-regular graphs of diameter two, which are not distance-transitive. For most of the representations a presentation of the sporadic group is given, with words in the given generators which generate a point stabiliser: this gives readers sufficient information to reconstruct and study the representations and graphs. Practical computational techniques appropriate for analysing finite vertex-transitive graphs are described carefully, making the book an excellent starting point for learning about groups and the graphs on which they act.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Australian Mathematical Society Lecture Series
Release date:	March 2003
First published:	1997
Authors:	Cheryl E Praeger • Leonard H. Soicher
Dimensions:	229 x 154 x 12mm (L x W x T)
Format:	Paperback - Trade
Pages:	156
ISBN-13:	978-0-521-56737-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	0-521-56737-8
Barcode:	9780521567374

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