Format:
1 Online-Ressource (xiii, 408 pages)
,
digital, PDF file(s).
ISBN:
9780511525933
Series Statement:
Encyclopedia of mathematics and its applications volume 76
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521062831
Additional Edition:
ISBN 9780521413626
Additional Edition:
ISBN 9780521413626
Additional Edition:
ISBN 9780521062831
Additional Edition:
Erscheint auch als Ivanov, Aleksandr A., 1958 - Geometry of sporadic groups Cambridge : Cambridge Univ. Press, 1999 ISBN 0521413621
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521413626
Language:
English
Subjects:
Mathematics
Keywords:
Sporadische Gruppe
;
Endliche Geometrie
DOI:
10.1017/CBO9780511525933
