Geometry of Sporadic Groups: Volume 2, Representations and Amalgams Ivanov

Geometry of Sporadic Groups: Volume 2, Representations and AmalgamsAuthor(s): A. A. Ivanov, S. V. Shpectorov\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521623490, 978-0521623490\nSynopsis\nThis 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 mathematic.