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Geometries and Groups

Aschbacher, M. and Cohen, A. M. and Kantor, W. M. (1987) Geometries and Groups. Springer , Dordrecht. ISBN 978-94-010-8282-2. https://resolver.caltech.edu/CaltechAUTHORS:20190814-100149802

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Abstract

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.


Item Type:Book
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-94-009-4017-8DOIBook
Additional Information:© 1988 Springer Science+Business Media B.V.
Subject Keywords:Area; Finite; Lie; Maxima; Morphism; Node.js; algebra; character; classification; diagrams; presentation; reflection; representation theory; set; techniques
Record Number:CaltechAUTHORS:20190814-100149802
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190814-100149802
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97883
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Aug 2019 17:46
Last Modified:03 Oct 2019 21:35

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