Geometry of Sporadic Groups

Volume 1, Petersen and Tilde Geometries

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Hardcover | 16 August 1999

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Hardcover
424 Pages

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22.86 x 15.24 x 2.69

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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.

Industry Reviews

From reviews of the hardback: '... this book is an essential purchase for researcher in finite group theory, finite geometries and algebraic combinatorics.' Anatoli Kondrat'ev, Zentralblatt fur Mathematik

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You Can Find This Book In

Non-Fiction Mathematics Geometry Combinatorics & Graph Theory Groups & Group Theory Topology Algebra

Introduction
Mathieu groups
Geometry of Mathieu groups
Conway groups
The monster
From Cn- to Tn-geometries
2-covers of P-geometries
Y-groups
Locally projective graphs
Table of Contents provided by Publisher. All Rights Reserved.

Geometry of Sporadic Groups

Volume 1, Petersen and Tilde Geometries

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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