On Intersections of Abelian and Nilpotent Subgroups in Finite Groups. II
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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.
Keywordsfinite group Abelian subgroup nilpotent subgroup intersection of subgroups Fitting subgroup
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