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Mathematical Notes

, Volume 105, Issue 3–4, pp 366–375 | Cite as

On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II

  • V. I. ZenkovEmail author
Article

Abstract

Let G be a finite group, and let A and B be, respectively, an Abelian and a nilpotent subgroup in G. In the present paper, we complete the proof of the theorem claiming that there is an element g of G such that the intersection of A with the subgroup conjugate to B by g is contained in the Fitting subgroup of G.

Keywords

finite group Abelian subgroup nilpotent subgroup intersection of subgroups Fitting subgroup 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and MechanicsUral Branch of Russian Academy of SciencesEkaterinburgRussia
  2. 2.Ural Federal UniversityEkaterinburgRussia

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