Skip to main content
Log in

Conjugacy classes of maximal nilpotent subgroups

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

Abstract

It is shown that in an arbitrary finite groupG, any two maximal nilpotent subgroups ofG whose intersection contains its own centralizer inG, are conjugate inG.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Z. Arad and D. Chillag,Injectors of finite solvable groups, Commun. Algebra7(2) (1979), 115–138.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Bialostocki,Nilpotent injectors, in symmetric groups, Isr. J. Math.41 (1982), 261–273.

    MATH  MathSciNet  Google Scholar 

  3. G. Glauberman,On Burnside’s other p n qβ theorem Pacific J. Math.56 (1975), 469–476.

    MATH  MathSciNet  Google Scholar 

  4. A. Mann,Injectors and normal subgroups of finite groups, Isr. J. Math.9 (1971), 554–558.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lausch, H. Conjugacy classes of maximal nilpotent subgroups. Israel J. Math. 47, 29–31 (1984). https://doi.org/10.1007/BF02760560

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02760560

Keywords

Navigation