摘要
G子群H称为 -z-可补的，如果存在G的一个子群K，使G=HK且H∩K≤z∞ （G），其中， 是饱和的局部群系．运用群系理论研究极小子群和sylow子群的极大子群的可补性对有限群结构的影响，得到一些结论，推广了相关的已知结果．
Abstract： A subgroup H of a finite group G is said to be -z-supplemented in G if there is a subgroup K of G such that G = HK and H ∩K ≤∞ Z （G）, where is a formation of finite groups. Researched further the influence of -z-supplemented subgroups on the structure of finite groups, obtained some new conclusion, some previously known results was generalized.
出处
《高师理科学刊》
2013年第2期34-38,共5页
Journal of Science of Teachers＇College and University
关键词
Y-z-可补
SYLOW子群
极大子群
循环子群
- z-supplemented subgroups
Sylow subgroups
maximal subgroups
cyclic subgroups
