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 ...
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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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Add this copy of Geometry of Sporadic Groups: Volume 1, Petersen and to cart. $79.40, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2008 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Line drawings. Encyclopedia of Mathematics and its Applications . 25 b/w illus. Intended for professional and scholarly audience.
Add this copy of Geometry of Sporadic Groups: Volume 1, Petersen and to cart. $95.70, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2008 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings. Encyclopedia of Mathematics and its Applications . 25 b/w illus. Intended for professional and scholarly audience.
Add this copy of Geometry of Sporadic Groups: Volume 1, Petersen and to cart. $113.39, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2008 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings. Encyclopedia of Mathematics and its Applications . 25 b/w illus. Intended for professional and scholarly audience.
