Email this article On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II
- Authors: Zenkov V.I.1,2
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Affiliations:
- Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 105, No 3-4 (2019)
- Pages: 366-375
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151609
- DOI: https://doi.org/10.1134/S0001434619030076
- ID: 151609
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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.
About the authors
V. I. Zenkov
Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: v1i9z52@mail.ru
Russian Federation, Ekaterinburg, 620990; Ekaterinburg, 620002
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