Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
Petersen and Tilde Geometries v. 1
By (author) A. A. Ivanov
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Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries by A. A. Ivanov
Book DescriptionThis 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 DetailsISBN: 9780521062831
(228mm x 152mm x 24mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-May-2008
Country of Publication: United Kingdom
Books By Author A. A. Ivanov
Monster Group and Majorana Involutions, Hardback (March 2009)» View all books by A. A. Ivanov
A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.
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