Let π be a set of prime numbers. We say that a finite group G is a D π -group if all of its maximal π-subgroups are conjugate. Question 17.44(b) in [2] asks whether an overgroup of a π-Hall subgroup of a D π -group is always a D π -group. We give an affirmative answer to this question in the case where 2 ∈ π
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Translated from Algebra i Logika, Vol. 53, No. 1, pp. 26-44, January-February, 2014.
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Manzaeva, N.C. Heritability of the Property D π by Overgroups of π-Hall Subgroups in the Case Where 2 ∈ π . Algebra Logic 53, 17–28 (2014). https://doi.org/10.1007/s10469-014-9268-7
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DOI: https://doi.org/10.1007/s10469-014-9268-7