得到了广义全不变子群的积和交仍是广义全不变子群,给出了有限群是广义全不变子群的若干判定,推广了一些熟知的结果,对群的局部分析方法的发展具有一定的意义.
It is obtained that the product and meet of generalized fully invariant subgroups of group are also generalized fully invariant subgroups, some decisions are given for the general- ized fully invariant subgroup of a group, and some well-known results are generalized,which are meaningful to develop the local group theoretic analysis.