Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Hardcover) (ISBN-13: 9780521623490)

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.

Author: A. a. Ivanov, S. V. Shpectorov
ISBN-10: 0521623499
ISBN-13: 9780521623490
Publisher: Cambridge University Press
Language: English
Published: 03/14/2002
Pages: 304
Format: Hardcover
Weight: 1.20lbs
Size: 9.80h x 6.90w x 0.90d