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Archiv der Mathematik

, Volume 71, Issue 5, pp 337–340 | Cite as

Nilpotent injectors in finite groups

  • Anni Neumann
Article

Abstract.

In [3] A. Bialostocki has introduced a special class of maximal nilpotent subgroups in an arbitrary finite group. ¶In this paper we want to investigate the relationship between this special class of maximal nilpotent subgroups and the more classical \(\cal N \)-injectors in an arbitrary finite group. ¶To do this we prove the following theorem which is of fundamental importance in this investigation: ¶Let U be a nilpotent subgroup of G containing every U-invariant nilpotent subgroup of G. Then U is an $\cal N $-injector of G.

Keywords

Finite Group Special Class Fundamental Importance Nilpotent Subgroup Arbitrary Finite Group 

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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • Anni Neumann
    • 1
  1. 1.Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, GermanyDeutschland

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