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Low Rank Representations and Graphs for Sporadic Groups

Low Rank Representations and Graphs for Sporadic Groups


Part of Australian Mathematical Society Lecture Series

  • Date Published: December 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521567374

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About the Authors
  • 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.

    • Gives new material never before published
    • Necessary resource for combinatorial group theorists
    • Authors are recognised world authorities
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    Product details

    • Date Published: December 1996
    • format: Paperback
    • isbn: 9780521567374
    • length: 156 pages
    • dimensions: 229 x 154 x 12 mm
    • weight: 0.24kg
    • availability: Available
  • Table of Contents

    1. Low rank permutation groups
    2. Digraphs for transitive groups
    3. The methods
    4. The individual groups
    5. Summary of the representations and graphs.

  • Authors

    Cheryl E. Praeger, University of Western Australia, Perth

    Leonard H. Soicher, Queen Mary University of London

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