Geometry of Sporadic Groups: Volume 2, R

Geometry of Sporadic Groups: Volume 2, R

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Format E-Bok
Filformat PDF
Utgivelsesår 2002
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781139882422
Serie Encyclopedia of Mathematics and its Applications
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Om Geometry of Sporadic Groups: Volume 2

This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume 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. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.


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