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 o...

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Bibliographic Details

Main Author:	Praeger, Cheryl E. 1948- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1997
Series:	Australian Mathematical Society lecture series 8
Subjects:	Finite simple groups Representations of groups Graph theory Sporadische Gruppe Klassifikation Darstellung > Mathematik Rang 5 Transitive Gruppe Permutationsgruppe
Online Access:	BSB01 FHN01 Volltext
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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xi, 141 pages)
ISBN:	9780511526039
DOI:	10.1017/CBO9780511526039