Geometry of Sporadic Groups by Alexander Anatolievich Ivanov
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Geometry of Sporadic Groups
By Alexander Anatolievich Ivanov

Geometry of Sporadic Groups

Volume 1, Petersen and Tilde Geometries v. 1

By (author) See other recent books by Alexander Anatolievich Ivanov
Series edited by G.-C. Rota See other recent books by G.-C. Rota See other recent books by B. Doran
Format: Hardback

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Geometry of Sporadic Groups by Alexander Anatolievich Ivanov

Book 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.

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Book Details

ISBN: 9780521413626
ISBN-10: 0521413621
Format: Hardback
(228mm x 152mm x 27mm)
Pages: 424
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 17-Jun-1999
Country of Publication: United Kingdom

Books By Author Alexander Anatolievich Ivanov

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams by Alexander Anatolievich Ivanov Geometry of Sporadic Groups: Volume 2, Representations and Amalgams, Hardback (March 2002)

The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

» View all books by Alexander Anatolievich Ivanov

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