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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams Hardback: Representations and Amalgams v. 2 (Encyclopedia of Mathematics and its Applications) (in English)
Ivanov; Shpectorov (Author)
·
Cambridge University Press
· Hardcover
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams Hardback: Representations and Amalgams v. 2 (Encyclopedia of Mathematics and its Applications) (in English) - Ivanov; Shpectorov
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Synopsis "Geometry of Sporadic Groups: Volume 2, Representations and Amalgams Hardback: Representations and Amalgams v. 2 (Encyclopedia of Mathematics and its Applications) (in 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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The book is written in English.
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