| 群的广义全不变子群的某些判定 |
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| 引用本文： | 刘秀,韦华全,董延寿. 群的广义全不变子群的某些判定[J]. 太原师范学院学报(自然科学版), 2013, 0(2): 13-15 |
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| 作者姓名： | 刘秀 韦华全 董延寿 |
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| 作者单位： | [1]昭通学院数学系,云南昭通657000 [2]广西师范学院数学科学学院,广西南宁530001 |
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| 基金项目： | 国家自然科学基金（10961007）; 云南省教育厅科学研究基金一般项目（2012Y435） |
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| 摘 要： | 得到了广义全不变子群的积和交仍是广义全不变子群,给出了有限群是广义全不变子群的若干判定,推广了一些熟知的结果,对群的局部分析方法的发展具有一定的意义.
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| 关 键 词： | 群 有限群 广义全不变子群 正规子群 |
The Decisions about Generalized Fully Invariant Subgroup of a Group |
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| Liu Xiu Wei Huaquan Dong Yanshou. The Decisions about Generalized Fully Invariant Subgroup of a Group[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2013, 0(2): 13-15 |
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| Authors: | Liu Xiu Wei Huaquan Dong Yanshou |
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| Affiliation: | Liu Xiu Wei Huaquan Dong Yanshou (1. Department of Mathematics, Zhaotong Teacher＇s College, Zhaotong 657000; 2. Departcment of Mathematics and Computer Science,Guangxi Teachers Eclucationg University,Nanning 530001,China) |
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| Abstract: | It is obtained that the product and meet of generalized fully invariant subgroups of group are also generalized fully invariant subgroups, some decisions are given for the general- ized fully invariant subgroup of a group, and some well-known results are generalized,which are meaningful to develop the local group theoretic analysis. |
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| Keywords: | group finite group generalized fully invariant subgroup invariant subgroup |
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