Geodesic
On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II
Matematičeskie zametki, Tome 105 (2019) no. 3, pp. 383-394

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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. 
V. I. Zenkov. On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II. Matematičeskie zametki, Tome 105 (2019) no. 3, pp. 383-394. http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a5/
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     title = {On {Intersections} of {Abelian} and {Nilpotent} {Subgroups} in {Finite} {Groups.~II}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a5/}
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