| Title:
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LOW RANK REPRESENTATIONS AND GRAPHS FOR SPORADIC GROUPS
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| By: |
Cheryl E. Praeger, Leonard H. Soicher, Dr Michael Murray |
| Format: |
Paperback |
| List price:
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£38.00 |
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£33.25 |
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£4.75 |
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| ISBN 10: |
0521567378 |
| ISBN 13: |
9780521567374 |
| Availability: |
Usually dispatched within 1-3 weeks.
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 December, 1996 |
| Series: |
Australian Mathematical Society Lecture Series No.8 |
| Pages: |
156 |
| 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. |
| Illustrations: |
tables |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |