【摘要】 群G的一个子群H称为在G中弱C-正规,如果存在G的一个子群K,使得G=HK且H∩K≤H_G,其中H_G是包含在H中的G的最大的正规子群。文章利用子群的弱C-正规性给出了一个群为可解群的若干充分条件。更多还原

【Abstract】 A subgroup H of a finite group G is said to be weakly C-normal in G if there a sub-normal subgroup K of G is existed such that and,where is the largest normal subgroup of G which is contained in H. Some sufficient conditions are given for a finite group to be solvable.更多还原