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Geometry of Sporadic Groups : Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries v. 1 - A. A. Ivanov

Geometry of Sporadic Groups

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

Hardcover Published: 28th July 1999
ISBN: 9780521413626
Number Of Pages: 424

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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 nonsplit 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 that 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 identification of Y-groups is given. This is an essential purchase for researchers in finite group theory, finite geometries and algebraic combinatorics.

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

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.

ISBN: 9780521413626
ISBN-10: 0521413621
Series: Cambridge Tracts in Mathematics (Hardcover)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 424
Published: 28th July 1999
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.55 x 15.9  x 2.64
Weight (kg): 0.7