Skip to main content
SpringerLink
Log in

Ranks of intersections of centralizers of involutions in finite groups

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Literature Cited

  1. V. D. Mazurov and S. A. Syskin, “Finite groups with two-Sylow intersections of rank ≤2,” Mat. Zametki,16, No. 1, 129–134 (1974).

    Google Scholar 

  2. É. M. Pal'chik, “On centralizers of involutions in finite, groups” in: Finite Groups [in Russian], Nauka i Tekhnika, Minsk (1975), pp. 109–120.

    Google Scholar 

  3. D. M. Goldschmidt, “Two-fusion in finite groups,” Ann. Math.,99, No. 1, 70–117 (1974).

    Google Scholar 

  4. D. Gorenstein, Finite Groups, Harper and Row, New York (1968).

    Google Scholar 

  5. M. Suzuki, “Finite groups with nilpotent centralizers,” Trans. Am. Math. Soc.,99, 425–470 (1961).

    Google Scholar 

  6. W. Feit, “The current situation in the theory of finite groups,” in: Actes Congrès Intern. Math., Vol. 1, Nice, 1970, Gauthier-Villars, Paris (1971), pp. 55–94.

    Google Scholar 

  7. V. D. Mazurov, “Finite groups with unique two-length of solvable subgroups” Algebra Logika,11, No. 4, 438–469 (1972).

    Google Scholar 

  8. H. Bender, “Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festlässt,” J. Algebra,17, No. 4, 527–554 (1971).

    Google Scholar 

  9. D. Gorenstein and K. Harada, “Finite groups of sectional two-rank at most 4” in: Proceedings of the Cainesville Conference, Amsterdam (1973), pp. 57–67.

  10. A. R. MacWilliams, “On two-groups with no normal Abelian subgroups of rank 3 and their occurrence as Sylow two-subgroups of finite simple groups,” Trans. Am. Math. Soc.,150, No. 2, 342–408 (1970).

    Google Scholar 

  11. S. A. Syskin, “Simple finite groups of two-rank 3 with solvable centralizers of involutions,” Algebra Logika,10, No. 6, 668–709 (1971).

    Google Scholar 

  12. G. Glauberman, “Central elements in core-free groups,” J. Algebra,4, No. 3, 403–420 (1966).

    Google Scholar 

  13. I. L. Alperin, R. Brauer, and D. Gorenstein, “Finite simple groups of two-rank two,” Scripta Math.29, Nos. 3–4, 191–214 (1973).

    Google Scholar 

Download references

Authors
  1. A. P. Kovalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 4, pp. 821–829, July–August, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovalenko, A.P. Ranks of intersections of centralizers of involutions in finite groups. Sib Math J 18, 581–588 (1977). https://doi.org/10.1007/BF00967199

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967199

Keywords

Search

Navigation