Low rank representations and graphs for sporadic groups
著者
書誌事項
Low rank representations and graphs for sporadic groups
（Australian Mathematical Society lecture series, 8）
Cambridge University Press, 1997
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 1. Low rank permutation groups
- 2. Digraphs for transitive groups
- 3. The methods
- 4. The individual groups
- 5. Summary of the representations and graphs.
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