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Titlebook: Geometries and Groups; Proceedings of the W M. Aschbacher,A. M. Cohen,W. M. Kantor Conference proceedings 1988 D. Reidel Publishing Company

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书目名称Geometries and Groups
副标题Proceedings of the W
编辑M. Aschbacher,A. M. Cohen,W. M. Kantor
视频video
图书封面Titlebook: Geometries and Groups; Proceedings of the W M. Aschbacher,A. M. Cohen,W. M. Kantor Conference proceedings 1988 D. Reidel Publishing Company
描述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‘ se
出版日期Conference proceedings 1988
关键词Area; Finite; Lie; Maxima; Morphism; Node; js; algebra; character; classification; diagrams; presentation; refle
版次1
doihttps://doi.org/10.1007/978-94-009-4017-8
isbn_softcover978-94-010-8282-2
isbn_ebook978-94-009-4017-8
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1988
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§ 2 Die Ehe als Gegenstand von Rechtsnormene get groups acting on rank-2-buildings of affine type, i.e. on trees. As a result, we obtain small-dimensional faithful representations for the amalgamated sum of the maximal parabolics of some rank-2-Chevalley groups and for the two biggest groups in Goldschmidt’s list of all primitive amalgams of
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Conference proceedings 1988groups; 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‘ se
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raphs 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‘ se978-94-010-8282-2978-94-009-4017-8
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One Node Extensions of Buildingsf all partitions .., j ∈ J. If c ∈ . and J ⊆ I, then Δ.(c) is the element of .. containing c. Notice that Δ.(c) is again a chamber system over J with partitions .., j ∈ J, restricted to Δ.(c). . is called connected iff Δ.(c) = {.} for some c ∈ .. The permutation group G of . is an automorphism group
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On the Foundations of Incidence Geometry for instance [2], [14], [15], [3]) and their application to finite group theory (see [1], [11], [12]) justifies a careful study of the foundations of the subject, somewhat in the spirit of abstract algebra or general topology, especially since slightly different versions which are more or, less exp
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Representations and Maximal Subgroups of Finite Groups of Lie Typeed point group G = $$ { ext{G=}}{overline { ext{G}} _{sigma }} $$ is finite and quasisimple. Write G = G(q), with q = p. and let V be an irreducible, but not necessarily absolutely irreducible, kG-module, where k denotes K or a finite subfield of K.
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