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Inert Subgroups in Simple Locally Finite Groups

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

Abstract

The paper is a brief survey of recent results about inert subgroups in locally finite groups and their use in characterizations of linear and finitary locally finite groups.

Translated from Russian by B. Hartley

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References

  1. V. V. Belyaev, Locally finite Chevalley groups, in Studies in Group Theory, Urals Scientific Centre of the Academy of Sciences of the USSR, Sverdlovsk, 1984, pp. 39–50.

    Google Scholar 

  2. V. V. Belyaev, Kernels in countable locally finite groups, Seventeenth All-Union Algebra Congress, Abstracts of Talks, Part 1, Minsk, 1983, p. 24.

    Google Scholar 

  3. V. V. Belyaev, Locally finite groups with a finite inseparable subgroup, Sibirsk. Mat. Zh. 34 (1993), 23–41.

    MathSciNet  Google Scholar 

  4. V. V. Belyaev, Inert subgroups in infinite simple groups, Sibirsk. Mat. Zh. 34 (1993), 17–23.

    MathSciNet  Google Scholar 

  5. V. V. Belyaev, Simple locally finite groups expressible as the product of two inert subgroups, Algebra i Logika 31 (1992), 360–369.

    Article  MathSciNet  Google Scholar 

  6. V. V. Belyaev, Local characterizations of infinite alternating groups and groups of Lie type, Algebra i Logika 31 (1992), 369–391.

    MathSciNet  Google Scholar 

  7. V. V. Belyaev, Local characterizations of periodic simple groups of finitary transformations, Algebra i Logika 32 (1993), 201–223.

    Google Scholar 

  8. A. V. Borovik, Embeddings of finite Chevalley groups and periodic linear groups, Sibirsk. Mat. Zh. 24 (1983), 26–35.

    MathSciNet  Google Scholar 

  9. J. Hall, Locally finite simple groups of finitary linear transformations, these Proceedings.

    Google Scholar 

  10. B. Hartley, Simple locally finite groups,these Proceedings.

    Google Scholar 

  11. B. Hartley and G. Shute, Monomorphisms and direct limits of finite groups of Lie type, Quart. J. Math. Oxford (2) 35 (1984), 49–71.

    Article  MathSciNet  MATH  Google Scholar 

  12. O. H. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, North-Holland, Amsterdam, 1973.

    MATH  Google Scholar 

  13. U. Meierfrankenfeld, Non-finitary locally finite simple groups, these Proceedings.

    Google Scholar 

  14. R. Phillips, Finitary linear groups: a survey, these Proceedings.

    Google Scholar 

  15. S. Thomas, The classification of the simple periodic linear groups, Arch. Math. 41 (1983), 103–116.

    Article  MATH  Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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Belyaev, V.V. (1995). Inert Subgroups in Simple Locally Finite 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_8

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  • DOI: https://doi.org/10.1007/978-94-011-0329-9_8

  • 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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