Let F be a non-empty subgroup-closed saturated formation, it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if pC2 and every cyclic subgroup of order 2 or 4...Let F be a non-empty subgroup-closed saturated formation, it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if pC2 and every cyclic subgroup of order 2 or 4 if p=2 are contained in the -hypercenter of the normalizer No（P） of a Sylow p-subgroup P of G. Our results improve and extend some conclusions in the previ- ous references.展开更多
基金Supported by the Natural Science Foundation of Guizhou Province (2010GZ77391)
文摘Let F be a non-empty subgroup-closed saturated formation, it is studied that the structure of a finite group G under the assumption that every subgroup of prime order p if pC2 and every cyclic subgroup of order 2 or 4 if p=2 are contained in the -hypercenter of the normalizer No（P） of a Sylow p-subgroup P of G. Our results improve and extend some conclusions in the previ- ous references.
