条件c-正规子群对有限群结构的影响

The Influence of Conditional c-normal Subgroups on the Structure of Finite Groups

称有限群G的子群H为G的条件c-正规子群,如果G有正规子群N使得HN■G,且H∩N HG.利用群G的某些特殊子群的条件c-正规性给出有限群为可解或超可解的若干充分条件,推广了相关文献中的一些结果.

Let G be a finite group. A subgroup H is called conditional c-normal if there exists a subgroup N of G such that HN G and H∩N≤HG. In this paper, by using conditional c-normality of some special subgroups of G ,it has been obtained that some results for a finite group to be a solvable or supersolvable group, and some previously known results are generalized.