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Books > Science & Mathematics > Mathematics > Geometry
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Geometries and Groups - Proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noorwijkerhout, Holland, March 1986 (Paperback, Softcover reprint of the original 1st ed. 1988)
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Geometries and Groups - Proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noorwijkerhout, Holland, March 1986 (Paperback, Softcover reprint of the original 1st ed. 1988)
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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.
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