Skip to main content
Log in

Finite groups with 2-Sylow intersections of rank≤2

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

We describe finite simple groups in which each elementary subgroup of order 8 lies in no more than one Sylow 2-subgroup.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. D. M. Goldschmidt, “A conjugation family for finite groups,” J. Algebra,16, No. 1, 138–142 (1970).

    Google Scholar 

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

    Google Scholar 

  3. V. D. Mazurov, “Finite groups with unit 2-length solvable subgroups,” Algebra i Logika,11, No. 4, 438–469 (1972).

    Google Scholar 

  4. D. Gorenstein and K. Harada, “Finite simple groups of low 2-rank and the families G2(q), D 24 (q), q odd,” Bull. Amer. Math. Soc,77, No. 6, 829–862 (1971).

    Google Scholar 

  5. J. G. Thompson, “Nonsolvable finite groups all of whose local subgroups are solvable,” Bull. Amer. Math. Soc.,74, No. 3, 387–437 (1968).

    Google Scholar 

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

    Google Scholar 

  7. S. A. Syskin, “On the fusion of 2-elements in a finite group,” Algebra i Logika,12, No. 3, 349–350 (1973).

    Google Scholar 

  8. A. R. MacWilliams, “On 2-groups with no normal Abelian subgroups of rank 3 and their occurrence as Sylow 2-subgroups of finite simple groups,” Trans. Amer. Math. Soc.,150, No. 2, 345–380 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 16, No. 1, pp. 129–134, July, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mazurov, V.D., Syskin, S.A. Finite groups with 2-Sylow intersections of rank≤2. Mathematical Notes of the Academy of Sciences of the USSR 16, 661–663 (1974). https://doi.org/10.1007/BF01098822

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01098822

Keywords

Navigation