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...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Praeger, Cheryl E. 1948- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1997
Schriftenreihe:	Australian Mathematical Society lecture series 8
Schlagworte:	Finite simple groups Representations of groups Graph theory Sporadische Gruppe Klassifikation Darstellung > Mathematik Rang 5 Transitive Gruppe Permutationsgruppe
Online-Zugang:	BSB01 FHN01 URL des Erstveröffentlichers
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (xi, 141 pages)
ISBN:	9780511526039
DOI:	10.1017/CBO9780511526039