Low Rank Representations and Graphs for Sporadic Groups: (Australian Mathematical Society Lecture Series)
By
Cheryl E. Praeger (Author) Leonard H. Soicher (Author)
Paperback
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Description
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. Worked examples or Exercises
More Details
- Contributor: Cheryl E. Praeger
- Imprint: Cambridge University Press
- ISBN13: 9780521567374
- Number of Pages: 156
- Packaged Dimensions: 154x229x12mm
- Packaged Weight: 240
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 1996-12-05
- Series: Australian Mathematical Society Lecture Series
- Binding: Paperback / softback
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