TY  - BOOK
AU  - Ivanov,A.A.
TI  - Geometry of sporadic groups
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511525933 (ebook)
AV  - QA177 .I93 1999
U1  - 512/.2 21
PY  - 1999///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Sporadic groups (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics
UR  - https://doi.org/10.1017/CBO9780511525933
ER  -