Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications)

Ivanov, A. A., Shpectorov, S. V.

ISBN 10: 0521623499 / ISBN 13: 9780521623490

Published by Cambridge University Press, 2002

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Bibliographic Details

• Title: Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications)
• Publisher: Cambridge University Press
• Publication Date: 2002
• Language: English
• ISBN 10: 0521623499
• ISBN 13: 9780521623490
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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Synopsis

This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It 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. By way of their systematic treatment of group amalgams, the authors establish a deep and important mathematical result.

Book Description

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. Via their systematic treatment of group amalgams, the authors establish a deep and importannt mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.