Low Rank Representations for Groups - Couverture souple

Praeger, Cheryl E.

Couverture souple

ISBN 10 : 0521567378 ISBN 13 : 9780521567374

Editeur : Cambridge University Press, 2008

Synopsis

This is a book on combinatorial group theory.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0521567378
• ISBN 13: 9780521567374
• Reliure: Broché
• Nombre de pages: 156
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France