Ivanov, A. A. Geometry of sporadic groups II, Representation and amalgams / A.A. Ivanov

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. This 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 amalgams, the most promising tool in modern finite group theory. Through 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.

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First published 2002 Printed in the United Kingdom at the University Press, Cambridge
Typeface Monotype Times 10/12pt System IATeX [UPH] A catalogue record of this book is available from the British Library