| 有限p-幂零群的注记 |
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| 引用本文： | 周宇珍,;韦华全,;杨立英.有限p-幂零群的注记[J].广西师院学报,2014(1):7-11. |
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| 作者姓名： | 周宇珍 ;韦华全 ;杨立英 |
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| 作者单位： | [1]广西大学化学化工学院,广西南宁530004; [2]广西大学数学与信息科学学院,广西南宁530004; [3]广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | This research was supporred by the Nadonal Narural Science of China （11361006.11161006）. the Guangxi Narura] Science Foundation （0991101,0991102） |
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| 摘 要： | 有限群G 的子群H 称为在G 中c- 可补,如果存在G 的子群K 使得HK =G 且H ∩K ≤CoreG （H ）.该文利用极小子群的局部c- 可补性,得到有限群成为p-幂零群的两个充要条件.作为应用,一些熟知的结果得到推广.
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| 关 键 词： | cG可补子群 极小子群 pG幂零 超可解 饱和群系 |
Notes on p-nilpotence of Finite Groups |
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| Institution: | ZHOU Yu zhen, WEI Hua-quan, YANG Li ying (1. a. College of Chemistry and Chemical Engineering; b. College of Mathematics and Information Science, Guangxi University, Nanning ,530004, China; 2. School of Mathematica Sciences, Guangxi Teachers Education Uiniversity, Nanning ,530023, China) |
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| Abstract: | A subgroup H is said to be c supplcmnted in a finite group G if there exists a subgroup K of G such that HK= G and H K is contained in （oreG （H）. In this paper, we obtain two st, fficient and necessary conditions of p nilpotence of finite groups by using locally c supplcmcnted minimal subgroups. As application, some known re sults were generalized. |
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| Keywords: | c supplcmented subgroup minimal subgroup p nilpovcnv supcrsolvablc savuravcd formavion |
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