TY - BOOK ID - 77894793 TI - Geometry of sporadic groups II AU - Ivanov, A. A AU - Shpectorov, S V PY - 2002 SN - 1139882422 0511971524 1107103371 146194144X 1107089093 1107095301 0511550243 1107092043 9781461941446 9781107089099 9780511550249 9780521623490 0521623499 9781139882422 9780511971525 9781107103375 9781107095304 9781107092044 PB - Cambridge, U.K. Cambridge University Press DB - UniCat KW - Representations of groups. KW - Sporadic groups (Mathematics) KW - Groups, Sporadic (Mathematics) KW - Finite groups KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:77894793 AB - 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. ER -