| Y-z-可补子群对有限群结构的影响(英文) |
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| 引用本文： | 赵勇.Y-z-可补子群对有限群结构的影响(英文)[J].高师理科学刊,2013(2):34-38. |
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| 作者姓名： | 赵勇 |
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| 作者单位： | 广安职业技术学院教育系 |
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| 摘 要： | G子群H称为Y-z-可补的,如果存在G的一个子群K,使G=HK且H∩K≤Z∞∞Y(G),其中,Y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.
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| 关 键 词： | Y-z-可补 Sylow子群 极大子群 循环子群 |
The influence of Y-z-supplemented subgroups on the structure of finite groups |
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| ZHAO Yong.The influence of Y-z-supplemented subgroups on the structure of finite groups[J].Journal of Science of Teachers＇College and University,2013(2):34-38. |
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| Authors: | ZHAO Yong |
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| Institution: | ZHAO Yong(Department of Education,Guang′an Vacational and Technical College,Guang′an 638000,China) |
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| Abstract: | A subgroup H of a finite group G is said to be Y-z-supplemented in G if there is a subgroup K of G such that G=HK and H ∩ K ≤Z∞Y(G),whereY is a formation of finite groups.Researched further the influence of Y-z-supplemented subgroups on the structure of finite groups,obtained some new conclusion,some previously known results was generalized. |
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| Keywords: | Y-z-supplemented subgroups Sylow subgroups maximal subgroups cyclic subgroups |
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