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Finite and Locally Finite Groups pp 189–212Cite as

Non-Finitary Locally Finite Simple Groups

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

Abstract

In this paper we prove and discuss consequences of the following theorem. Let G be a locally finite simple group. Then one of the following holds:

  1. (a)

    G is finitary.

  2. (b)

    G is of alternating type.

  3. (c)

    There exists a prime p and a Kegel cover {(H i ,M i ) | i ∊ I} such that G is of p-type and, for all i in I, H i /M i is a projective special linear group.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    U. Meierfrankenfeld

Authors
  1. U. Meierfrankenfeld
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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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Meierfrankenfeld, U. (1995). Non-Finitary Locally Finite Simple Groups. 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_7

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  • DOI: https://doi.org/10.1007/978-94-011-0329-9_7

  • 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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