摘要
G子群H称为弱补的,如果存在G的一个真子群K,使得G HK.运用群系理论研究了极小子群和4阶循环子群的弱补性对有限群结构的影响,推广了相关的已知结果.
A subgroup H of a finite group G is said to be weakly supplemented in G if there is a proper subgroup K of G such that G HK.Researched the influence of weakly supplementation of some minimal subgroup and cyclic subgroup of order 4 on the structure of finite groups,generalized some known results.
出处
《高师理科学刊》
2012年第2期36-39,60,共5页
Journal of Science of Teachers＇College and University
关键词
群系
弱补性
极小子群
循环子群
formations
weakly supplementation
minimal subgroup
cyclic subgroup
