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Low Rank Representations and Graphs for Sporadic Groups - Australian Mathematical Society Lecture Series (Paperback)
  • Low Rank Representations and Graphs for Sporadic Groups - Australian Mathematical Society Lecture Series (Paperback)
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Low Rank Representations and Graphs for Sporadic Groups - Australian Mathematical Society Lecture Series (Paperback)

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£30.99
Paperback 156 Pages / Published: 05/12/1996
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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.

Publisher: Cambridge University Press
ISBN: 9780521567374
Number of pages: 156
Weight: 240 g
Dimensions: 229 x 154 x 12 mm

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