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.
| ISBN: | 9780521623490 |
| Publication date: | 14th March 2002 |
| Author: | A A Imperial College of Science, Technology and Medicine, London Ivanov, S V Bowling Green State University, Shpectorov |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 304 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Groups and group theory Geometry |
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.
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams features in the following genres: Groups and group theory, Geometry
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams is available in Hardback
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams was written by A A Imperial College of Science, Technology and Medicine, London Ivanov, S V Bowling Green State University, Shpectorov and published by Cambridge University Press
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams has 304 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£129.60