Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
Author | : A. A. Ivanov |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2002-03-14 |
ISBN-10 | : 0521623499 |
ISBN-13 | : 9780521623490 |
Rating | : 4/5 (490 Downloads) |
Download or read book Geometry of Sporadic Groups: Volume 2, Representations and Amalgams written by A. A. Ivanov and published by Cambridge University Press. This book was released on 2002-03-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.