Low Rank Representations and Graphs for Sporadic Groups Paperback / softback
by Cheryl E. (University of Western Australia, Perth) Praeger, Leonard H. (Queen Mary University of London) Soicher
Part of the Australian Mathematical Society Lecture Series series
Paperback / softback
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:156 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/12/1996
- Category:
- ISBN:9780521567374
Information
-
Out of stock
- Format:Paperback / softback
- Pages:156 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/12/1996
- Category:
- ISBN:9780521567374
