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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.

Buy Low Rank Representations and Graphs for Sporadic Groups book by Cheryl E. Praeger from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521567374
ISBN-10: 0521567378
Format: Paperback
(228mm x 152mm x 9mm)
Pages: 156
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Dec-1996
Country of Publication: United Kingdom

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