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Geometries and Groups: Proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noorwijkerhout, Holland, March 1986 1988 Edition
Contributor(s): Aschbacher, M. (Editor), Cohen, A. M. (Editor), Kantor, W. M. (Editor)
ISBN: 9401082820     ISBN-13: 9789401082822
Publisher: Springer
OUR PRICE:   $208.99  
Product Type: Paperback
Published: November 2011
Qty:
Additional Information
BISAC Categories:
- Mathematics | Geometry - Analytic
Dewey: 516.3
Physical Information: 1.13" H x 6.14" W x 9.21" (1.70 lbs) 542 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
The workshop was set up in order to stimulate the interaction between (finite and algebraic) geometries and groups. Five areas of concentrated research were chosen on which attention would be focused, namely: diagram geometries and chamber systems with transitive automorphism groups, geometries viewed as incidence systems, properties of finite groups of Lie type, geometries related to finite simple groups, and algebraic groups. The list of talks (cf. page iii) illustrates how these subjects were represented during the workshop. The contributions to these proceedings mainly belong to the first three areas; therefore, (i) diagram geometries and chamber systems with transitive automorphism groups, (ii) geometries viewed as incidence systems, and (iii) properties of finite groups of Lie type occur as section titles. The fourth and final section of these proceedings has been named graphs and groups; besides some graph theory, this encapsules most of the work related to finite simple groups that does not (explicitly) deal with diagram geometry. A few more words about the content: (i). Diagram geometries and chamber systems with transitive automorphism groups. As a consequence of Tits' seminal work on the subject, all finite buildings are known. But usually, in a situation where groups are to be characterized by certain data concerning subgroups, a lot less is known than the full parabolic picture corresponding to the building.