Skip to main content
SpringerLink
Log in

Finite groups of rank 3. I

  • Published:
Inventiones mathematicae Aims and scope

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

References

  1. Aschbacher, M.: A factorization theorem for 2-constrained groups, to appear in Proc. London Math. Soc.

  2. Aschbacher, M.: Some results on pushing up in finite groups, to appear in Math. Zeit.

  3. Aschbacher, M.: The uniqueness case for finite groups, preprint

  4. Aschbacher, M., Gorenstein, D., Lyons, R.: The embedding of 2-locals in finite groups of characteristic 2-type, to appear in Ann. Math.

  5. Aschbacher, M., Seitz, G.: Involutions in Chevalley groups over fields of even order. Nagoya Math. J.63, 1–91 (1976)

    Google Scholar 

  6. Bloom, D.: The subgroups ofPSL 3(q), for oddq. Trans. Amer. Math. Soc.127, 150–178 (1967)

    Google Scholar 

  7. Curtis, C.: Central extensions of groups of Lie type. J. Reine Ang. Math.220, 174–185 (1965)

    Google Scholar 

  8. Dickson, L.: Linear Groups. New York: Dover 1958

    Google Scholar 

  9. Finkelstein, L., Frohardt, D.: A 3-local characterization ofL 7(2). Trans. AMS250, 181–194 (1979)

    Google Scholar 

  10. Finkelstein, L., Frohardt, D.: Standard 2-components of typeS p(6.2), preprint

  11. Finkelstein, L., Frohardt, D.: in preparation

  12. Fischer, B.: Finite groups generated by 3-transpositions. Invent. Math.13, 232–246 (1971)

    Google Scholar 

  13. Foote, R.: Component type theorems for finite groups in characteristic 2, preprint

  14. Gorenstein, D., Lyons, R.: Odd standard form in finite groups of characteristic 2-type, preprint

  15. McLaughlin, J.: Some subgroups ofSL n(F2). Illinois J. Math.13, 108–115 (1969)

    Google Scholar 

  16. Mitchell, H.: The subgroups of the quaternary abelian linear group. Trans. AMS15, 379–396 (1914)

    Google Scholar 

  17. Phan, K.: On groups generated by special unitary groups. I. J. Australian Math. Soc.23, 67–77 (1977)

    Google Scholar 

  18. Seitz, G.: Generation of finite groups of Lie type, preprint

  19. Solomon, R.: On certain 2-local blocks, preprint

  20. Thompson, J.: Nonsolvable finite groups all of whose local subgroups are solvable, I. Bull. AMS74, 383–437 (1968)

    Google Scholar 

  21. Aschbacher, M., Seitz, G.: On groups with a standard component of known type. Osaka J. Math.13, 439–482 (1976)

    Google Scholar 

  22. Jones, W., Parshall, B.: On the 1-cohomology of finite groups of Lie type. Proceedings of the Conference on finite groups. Academic Press, New York, 1976

    Google Scholar 

  23. Bender, H.: Über den größtenp'-Normelteiler inp-anfloßbaren Gruppen. Arch. Math.18, 15–16 (1967)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. California Institute of Technology, 91125, Pasadena, California, USA

    Michael Aschbacher

Authors
  1. Michael Aschbacher
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partial support supplied by the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aschbacher, M. Finite groups of rank 3. I. Invent Math 63, 357–402 (1981). https://doi.org/10.1007/BF01389061

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389061

Keywords

Search

Navigation