| 16阶非交换2群的子群结构 |
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| 引用本文： | 王亮亮.16阶非交换2群的子群结构[J].太原师范学院学报(自然科学版),2013(3):62-66. |
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| 作者姓名： | 王亮亮 |
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| 作者单位： | 吕梁学院,山西离石033000 |
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| 摘 要： | 借助Lagrange定理以及阶小于等于8的2群的结构,通过逐步寻找极大子群的方法,给出了全部16阶非交换2群的子群的个数、子群的定义关系.
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| 关 键 词： | 子群 二面体群 广义四元数群 半二面体群 |
The Subgroup Structure of Finite Nonabelian 2-groups Which Have Order Equal to 16 |
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| Wang Liangliang.The Subgroup Structure of Finite Nonabelian 2-groups Which Have Order Equal to 16[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(3):62-66. |
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| Authors: | Wang Liangliang |
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| Institution: | Wang Liangliang (Lvliang University, Lishi 033000, China) |
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| Abstract: | To use Lagra to 8. Through look for maxim subgroups about all of 2-group nge theorem and the 2-group al subgroups, give the numbe s which have order equal to 1 structure of order less than or equal r of subgroups and the definition of subgroups about all of 2-groups which have order equal to 16. |
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| Keywords: | subgroups dihedral groups generalized quaternion groups semidihedralgroups |
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