Skip to main content
Log in

Groups withS 2′-subgroups andS 3′-subgroups

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

Abstract

In this paper we formulate criteria for the solvability of groups of typeE 2′ andE 3′

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. Z. Arad and G. Glauberman,A characteristic subgroup of a group of old order (to appear).

  2. W. Burnside,On groups of order p aqb, Proc. London Math. Soc.2 (1904), 388–392.

    Article  Google Scholar 

  3. W. Burnside,On groups of order p αqβ, Proc. London Math. Soc.2 (1904), 432–437.

    Article  Google Scholar 

  4. W. Feit,Characters of Finite Groups, W. A. Benjamin, Inc. New York, 1967.

    MATH  Google Scholar 

  5. W. Feit,The current situation in the theory of finite simple groups, Actes Congress Intern. Math.1 (1970), 55–93.

    Google Scholar 

  6. W. Feit, and J. G. Thompson,Solvability of groups of old order, Pacific J. Math.13 (1963), 775–1029.

    MATH  MathSciNet  Google Scholar 

  7. D. Gorenstein,Finite Groups, Harper and Row, New York, 1968.

    MATH  Google Scholar 

  8. P. Hall,Theorems like Sylow’s, Proc. London Math. Soc.6 (1956), 286–304.

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Herzog,Intersections of nilpotent Hall subgroups, Pacific J. Math.36 (1971), 331–333.

    MATH  MathSciNet  Google Scholar 

  10. B. Huppert,Endlich Gruppen I, Springer-Verlag, New York, 1967.

    Google Scholar 

  11. J. S. Leon,On simple groups of order 2 a 3b 5c containing a cyclic Sylow subgroup, J. Algebra21 (1972), 450–457.

    Article  MATH  MathSciNet  Google Scholar 

  12. D. S. Passman,Permutation Groups, W. A. Benjamin Inc., N. Y., Amsterdam, 1968.

    MATH  Google Scholar 

  13. W. R. Scott,Groups Theory, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1964.

    Google Scholar 

  14. J. H. Walter,Finite groups with abelian Sylow 2-subgroups of order 8, Invent. Math. (1967), 332–376.

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

    Article  MathSciNet  Google Scholar 

  16. H. N. Ward,On Ree’s series of simple groups, Trans. Amer. Math. Soc.121 (1966), 62–89.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The results of this paper are part of the author’s doctoral research at Tel Aviv University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arad, Z. Groups withS 2′-subgroups andS 3′-subgroups. Israel J. Math. 17, 76–83 (1974). https://doi.org/10.1007/BF02756828

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02756828

Keywords

Navigation