Low rank representations and graphs for sporadic groups /
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Author / Creator: | Praeger, Cheryl E., 1948- |
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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 |
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. |
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Physical Description: | xi, 141 p. |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 0521567378 (pbk.) |