Geometry of Sporadic Groups: Petersen and Tilde Geometries Vol 1 (Encyclopedia of Mathematics and Its Applications) (Encyclopedia of Mathematics and its Applications, Series Number 76) - Image 1

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Cambridge University Press Geometry of Sporadic Groups: Petersen and Tilde Geometries Vol 1 (Encyclopedia of Mathematics and Its Applications) (Encyclopedia of Mathematics and its Applications, Series Number 76)

Name: Geometry of Sporadic Groups: Petersen and Tilde Geometries Vol 1 (Encyclopedia of Mathematics and Its Applications) (Encyclopedia of Mathematics and its Applications, Series Number 76)
Brand: Cambridge University Press
Price: 134.0 GBP
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Algebra

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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.

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Brand: Cambridge University Press
Format: hardcover
ASIN: 0521413621
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 17 June 1999
Listed Since: 04 January 2007

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Cambridge University Press Geometry of Sporadic Groups: Petersen and Tilde Geometries Vol 1 (Encyclopedia of Mathematics and Its Applications) (Encyclopedia of Mathematics and its Applications, Series Number 76)

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Cambridge University Press Geometry of Sporadic Groups: Petersen and Tilde Geometries Vol 1 (Encyclopedia of Mathematics and Its Applications) (Encyclopedia of Mathematics and its Applications, Series Number 76)

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