| 关于任意子群在其正规闭包指数有界的群性质 |
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| 引用本文： | 余大鹏.关于任意子群在其正规闭包指数有界的群性质[J].渝西学院学报(自然科学版),2011(5):12-14. |
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| 作者姓名： | 余大鹏 |
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| 作者单位： | 重庆文理学院数学与统计学院,重庆永川402160 |
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| 基金项目： | 重庆市科委自然科学基金计划资助项目（CSTC2010BB9206）; 重庆市教育委员会科学技术研究项目（KJ091217,KJ111207）; 重庆文理学院科研项目（Z2010ST15） |
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| 摘 要： | 文章主要研究了任意子群在其正规闭包指数有界的群性质.首先在局部幂零条件下研究S＊-群,得到了它们的幂零类不超过3;然后在有限生成条件下研究一般的S＊-群,得到了它们是多重循环群.
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| 关 键 词： | 正规闭包 BFC群 局部幂零 幂零类 |
On the property of groups with bounded index of every subgroup in its normal closure |
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| Authors: | YU Da-peng |
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| Institution: | YU Da-peng (Department of Mathematics and Statistics,Chongqing University of Arts and Sciences,Youngchuan Chongqing 402160,China) |
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| Abstract: | In this paper,the author studies the property of groups with bounded index of every subgroup in its normal closure.The author gets the nilpotent class of locally nilpotent S＊-group G is at most 3 and finitely generated S＊-group G is polycyclic group. |
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| Keywords: | normal closure BFC groups locally nilpotent nilpotent class |
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