有关(为奇数)阶有限群的结论 |
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引用本文: | 郑慧娟.有关(为奇数)阶有限群的结论[J].佳木斯工学院学报,2010(3):459-460. |
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作者姓名: | 郑慧娟 |
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作者单位: | 成都理工大学信息管理学院,四川成都610059 |
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摘 要: | 设有限群G是具有r(r为奇数)阶循环正规子群N的2nr阶群,本文根据群的扩张理论和数论知识给出了当N在G中补子群为循环群时G的构造及相关的计数定理.
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关 键 词: | 循环子群 剩余类 同构 |
Results of a Kind of Finite Groups with Order 2nr |
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Authors: | ZHENG Hui-juan |
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Affiliation: | ZHENG Hui-juan( College of Information Management, Chengdu University of Technology, Chengdu 610059, China) |
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Abstract: | Let G be a finite group with order 2nr, and N a cyclic normal subgroup with order r of G. This paper gives the structures of a kind of finite groups which have subgroup N whose supplementary subgroup is cyclic. |
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Keywords: | cyclic subgroup residue class isomorphism |
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