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Oт maximal subgroup of a finite solvable subgroup
(EURASIAN MATHEMATICAL JOURNAL, 2012)
Let H be a non-normal maximal subgroup of a finite solvable group G, and
let q ∈ π(F (H/CoreGH)). It is proved that G has a Sylow q-subgroup Q such that
NG(Q) ⊆ H.