Skip to main content
SpringerLink
Log in

On strongly p-embedded subgroups of Lie rank 2

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract

In this article we extend the work on strongly p-embedded subgroups in Parker and Stroth (Strongly p-embedded subgroups, arxiv:0901.0805) to include the Lie type groups of rank 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Aschbacher, Finite group theory, Cambridge Studies in Advanced Mathematics, 10, Cambridge University Press, Cambridge, 1986.

  2. Bender H.: Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt. J. Algebra 17, 527–554 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  3. Gorenstein D.: Finite groups. Harper & Row, Publishers, New York-London (1968)

    MATH  Google Scholar 

  4. D. Gorenstein and R. Lyons, The local structure of finite groups of characteristic 2 type, Mem. Amer. Math. Soc. 42 (1983), no. 276.

    Google Scholar 

  5. D. Gorenstein, R. Lyons, and R. Solomon, The classification of the finite simple groups, Number 2. Part I. Chapter G, General group theory, Mathematical Surveys and Monographs, 40.2, American Mathematical Society, Providence, RI, 1996.

  6. D. Gorenstein, R. Lyons, and R. Solomon, The classification of the finite simple groups, Number 3. Part I, Chapter A, Almost simple K-groups, Mathematical Surveys and Monographs, 40.3, American Mathematical Society, Providence, RI, 1998.

  7. B. Huppert and E. Gruppen. I. Die Grundlehren der Mathematischen Wissenschaften, 134 Springer-Verlag, Berlin-New York 1967.

  8. P. Kleidman and M. Liebeck, The subgroup structure of the finite classical groups. London Mathematical Society Lecture Note Series, 129, Cambridge University Press, Cambridge, 1990.

  9. U. Meierfrankenfeld, B. Stellmacher, and G. Stroth, Finite groups of local characteristic p: an overview, Groups, combinatorics & geometry (Durham, 2001), 155–192, World Sci. Publishing, River Edge, NJ, 2003.

  10. C. Parker and P. Rowley, Local characteristic p completions of weak BN-pairs. Proc. London Math. Soc. (3) 93 (2006), 325–394.

    Google Scholar 

  11. C. Parker and G. Stroth, Strongly p-embedded subgroups, arxiv:0901.0805

  12. Suzuki M.: On a class of doubly transitive groups II. Ann. Math. 79, 514–589 (1964)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK

    Chris Parker

  2. Institut für Mathematik, Universität Halle-Wittenberg, Theodor Lieser Str. 5, 06099, Halle, Germany

    Gernot Stroth

Authors
  1. Chris Parker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gernot Stroth
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chris Parker.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parker, C., Stroth, G. On strongly p-embedded subgroups of Lie rank 2. Arch. Math. 93, 405–413 (2009). https://doi.org/10.1007/s00013-009-0052-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-009-0052-1

Mathematics Subject Classification (2000)

Keywords

Search

Navigation