有限群可解的若干充分条件

Some Sufficient Conditions about the Solvability of Finite Group

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≤HG,其中HG是包含在H中的G的最大的正规子群.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.

A subgroup H of a finite group G is said to be weakly c-normal in G if there exist a subnormal subgroup K of G such that and,where is the largest normal subgroup of G which is contained in H. In this paper,the authers give some sufficient conditions for a finite group to be solvable.