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Subgroups of Simple Algebraic Groups and of Related Finite and Locally Finite Groups of Lie Type

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Finite and Locally Finite Groups

Part of the book series: NATO ASI Series ((ASIC,volume 471))

Abstract

This is a survey of some recent results on the subgroup structure of simple algebraic groups and of related finite and locally finite groups of Lie type. The first section contains basic material on simple algebraic groups, their automorphisms and Frobenius morphisms, and shows how every finite or locally finite group of Lie type can be realised as the fixed point group G σ or G ϕ , of a suitable automorphism σ or ϕ of a simple algebraic group G. The other two sections deal with classical groups and exceptional groups. Both sections start with results on the closed subgroups of G, and then show how these results can be used to deduce corresponding results about the subgroups of G σ and G ϕ .

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Author information

Authors and Affiliations

  1. Imperial College, London, SW7 2BZ, England

    M. W. Liebeck

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  1. M. W. Liebeck
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Manchester, Manchester, UK

    B. Hartley

  2. Department of Mathematics, University of Oregon, Eugene, Oregon, USA

    G. M. Seitz

  3. UMIST, Manchester, UK

    A. V. Borovik  & R. M. Bryant  & 

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© 1995 Springer Science+Business Media Dordrecht

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Liebeck, M.W. (1995). Subgroups of Simple Algebraic Groups and of Related Finite and Locally Finite Groups of Lie Type. In: Hartley, B., Seitz, G.M., Borovik, A.V., Bryant, R.M. (eds) Finite and Locally Finite Groups. NATO ASI Series, vol 471. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0329-9_3

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  • DOI: https://doi.org/10.1007/978-94-011-0329-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4145-4

  • Online ISBN: 978-94-011-0329-9

  • eBook Packages: Springer Book Archive

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