Skip to main content
Log in

On simple groups with a cyclic maximal 2-Sylow intersection

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

Finite simple groupsG with a cyclic maximal 2-Sylow intersectionV are classified under the assumption that [G: N G (V)] is odd.

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

References

  1. J. L. Alperin, R. Brauer and D. Gorenstein,Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups, Trans. Amer. Math. Soc.151 (1970), 1–261.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. L. Alperin, R. Brauer and D. Gorenstein,Finite simple groups of 2-rank two, to appear.

  3. A. R. Camina and T. M. Gagen,Groups with metacyclic Sylow 2-subgroups, Canad. J. Math.21 (1969), 1234–1237.

    MATH  MathSciNet  Google Scholar 

  4. R. Carter and P. Fong,The Sylow 2-subgroups of the finite classical groups, J. Algebra1 (1964), 139–151.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Glauberman,Central elements of core-free groups, J. Algebra4 (1966), 403–420.

    Article  MATH  MathSciNet  Google Scholar 

  6. D. Gorenstein and J. Walter,The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III. J. Algebra2 (1965), 85–151, 218–270, 354–393.

    Article  MathSciNet  Google Scholar 

  7. B. Huppert,Endliche Gruppen, I, Springer-Verlag, New-York, 1967.

    MATH  Google Scholar 

  8. M. Suzuki,Finite groups of even order in which Slyow 2-groups are independent, Ann. of Math.80 (1964), 58–77.

    Article  MathSciNet  Google Scholar 

  9. M. Suzuki,A characterization of the 3-dimensional projective unitary group over a finite field of odd characteristic, J. Algebra2 (1965), 1–14.

    Article  MATH  MathSciNet  Google Scholar 

  10. J. H. Walter,The characterization of finite groups with abelian Sylow 2-subgroups, Ann. of Math.89 (1969), 405–514.

    Article  MathSciNet  Google Scholar 

  11. H. Wielandt,Finite Permutation Groups, Academic Press, New York, 1964.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herzog, M. On simple groups with a cyclic maximal 2-Sylow intersection. Israel J. Math. 15, 350–355 (1973). https://doi.org/10.1007/BF02757073

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02757073

Keywords

Navigation