Geometry of Sporadic Groups

Volume 2 Representations and Amalgams

A.A. Ivanov, S.V. Shpectorov

286 pages, parution le 15/03/2002

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Résumé

This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.

Contents

1. Preliminaries

Part I. Representations

2. General features
3. Classical geometries
4. Mathieu groups and Held group
5. Conway groups
6. Involution geometries
7. Large sporadics

Part II. Amalgams

8. Method of group amalgams
9. Action on the derived graph
10. Shapes of amalgams
11. Amalgams for P-geometries
12. Amalgams for T-geometries
13. Further developments.

References
Index

L'auteur - A.A. Ivanov

Alexander A. Ivanov, Imperial College, London

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	A.A. Ivanov, S.V. Shpectorov
Parution	15/03/2002
Nb. de pages	286
Format	15,5 x 23,5
Couverture	Relié
Poids	557g
Intérieur	Noir et Blanc
EAN13	9780521623490
ISBN13	978-0-521-62349-0