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Item Details
Title: LOW RANK REPRESENTATIONS AND GRAPHS FOR SPORADIC GROUPS
By: Cheryl E. Praeger, Leonard H. Soicher
Format: Electronic book text

List price: £85.00


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ISBN 10: 0511526032
ISBN 13: 9780511526039
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 15 September, 2009
Series: Australian Mathematical Society Lecture Series 8
Description: This is a book on combinatorial group theory.
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.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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