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Low rank representations and graphs for sporadic groups / Cheryl E. Praeger, Leonard H. Soicher

Author:
Praeger, Cheryl E., 1948-
Additional Titles:
Low Rank Representations & Graphs for Sporadic Groups
Published:
Cambridge : Cambridge University Press, 1997.
Physical Description:
1 online resource (xi, 141 pages) : digital, PDF file(s).
Additional Creators:
Soicher, Leonard H. (Leonard Hyman)
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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.
Subject(s):
ISBN:
9780511526039 (ebook)
9780521567374 (paperback)
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
View MARC record | catkey: 34837849