Low rank representations and graphs for sporadic groups /

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Bibliographic Details
Author / Creator:Praeger, Cheryl E., 1948-
Imprint:New York : Cambridge University Press, 1997.
Description:xi, 141 p.
Language:English
Series:Australian Mathematical Society lecture series 8
Subject:Finite simple groups.
Representations of groups.
Graph theory.
Finite simple groups.
Representations of groups.
Sporadic groups (Mathematics)
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/2571570
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Other authors / contributors:Soicher, Leonard H. (Leonard Hyman)
ISBN:0521567378 (pbk.)
Notes:Includes bibliographical references and index.
Description
Summary: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.
Physical Description:xi, 141 p.
Bibliography:Includes bibliographical references and index.
ISBN:0521567378 (pbk.)