Low Rank Representations and Graphs for Sporadic Groups
By (author) Cheryl E. Praeger Leonard H. Soicher
Series edited by Dr Michael Murray
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Low Rank Representations and Graphs for Sporadic Groups by Cheryl E. Praeger
Book DescriptionThis 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.
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Book DetailsISBN: 9780521567374
(228mm x 152mm x 9mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Dec-1996
Country of Publication: United Kingdom
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