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A subgroup K of a finite group G is called an ℋ-subgroup of G if the following condition is satisfied:
The set of all ℋ-subgroups of a finite group G will be denoted by ℋ(G). In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups of prime power orders belong to ℋ(G).
Communicated by M. Dixon
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