On the heritability of the Hall property Dπ by overgroups of π-Hall subgroups
Manzaeva, N. Ch.
Original · EN
Let π be a set of primes. We say that a finite group G is a Dπ-group if all its maximal π-subgroups are conjugate. In this paper, we give an affirmative answer to the problem 17.44(b) from "The Kourovka notebook": we prove that in a Dπ-group an overgroup of a π-Hall subgroup is always a Dπ-group.
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