Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications)

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.

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. Via their systematic treatment of group amalgams, the authors establish a deep and importannt mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.