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Israel Journal of Mathematics

, Volume 47, Issue 1, pp 29–31 | Cite as

Conjugacy classes of maximal nilpotent subgroups

  • Hans Lausch
Article

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.

Keywords

Group Theory Normal Subgroup Finite Group CONJUGACY Class Symmetric Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Z. Arad and D. Chillag,Injectors of finite solvable groups, Commun. Algebra7(2) (1979), 115–138.MATHCrossRefMathSciNetGoogle Scholar
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    A. Bialostocki,Nilpotent injectors, in symmetric groups, Isr. J. Math.41 (1982), 261–273.MATHMathSciNetGoogle Scholar
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    G. Glauberman,On Burnside’s other p n qβ theorem Pacific J. Math.56 (1975), 469–476.MATHMathSciNetGoogle Scholar
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    A. Mann,Injectors and normal subgroups of finite groups, Isr. J. Math.9 (1971), 554–558.MATHGoogle Scholar

Copyright information

© Hebrew University 1981

Authors and Affiliations

  • Hans Lausch
    • 1
  1. 1.Department of MathematicsClaytonAustralia

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