【摘要】 一个群为完全群 ,而当它是另一个群的正规子群时 ,则必为其直因子 ,反之成立否 ,马元达 (1982 )对有限群的情况进行了证明 ,该文推广到一般群 .更多还原

【Abstract】 When a group is complete, and it is also a normal subgroup of the other group, it must be a direct product factor of the other group. About the rightness of the converse, Ma Y D discussed the case of finite group, and a generalization in all groups is given in our paper.更多还原