Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries

By:

A.A. Ivanov

Format:

Paperback / softback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.

Release date NZ

May 15th, 2008

Author

A.A. Ivanov

Audience

Professional & Vocational

Illustrations

25 Line drawings, unspecified

Pages

424

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

153x229x24

ISBN-13

9780521062831

Product ID

2465222

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