Low Rank Representations for Groups: 8 (Australian Mathematical Society Lecture Series, Series Number 8) - Softcover

Praeger, Cheryl E.

Softcover

ISBN 10: 0521567378 ISBN 13: 9780521567374

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description

This book concerns ways of representing sporadic simple groups and about their associated graphs. It gives a classification of all low rank permutation representations of the sporadic groups, with the parameter values for all associated vertex-transitive graphs. Sufficient information is given about the groups and graphs to enable readers to re-construct and study them themselves.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521567378
• ISBN 13: 9780521567374
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 156