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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 91

Medical ReferenceAlgebraGeometry

ISBN10: 0521623499
ISBN13: 9780521623490
Publisher: Cambridge University Press
Published: Mar 14 2002
Pages: 304
Weight: 1.20
Height: 0.90 Width: 6.90 Depth: 9.80
Language: English
This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-Abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. By way of their systematic treatment of group amalgams, the authors establish a deep and important mathematical result.

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Geometry