Abstract
Let [Formula: see text] be a finite group. A subgroup [Formula: see text] of [Formula: see text] is called Hall normally embedded in [Formula: see text] if [Formula: see text] is a Hall subgroup of the normal closure [Formula: see text]. In this paper, we investigate the structure of a finite group [Formula: see text] under the assumption that certain subgroups of prime power order are Hall normally embedded in [Formula: see text].
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