| 3p^3阶群之构造 |
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| 引用本文： | 王俊琴. 3p^3阶群之构造[J]. 湖北大学学报(自然科学版), 1991, 13(3): 244-249 |
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| 作者姓名： | 王俊琴 |
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| 作者单位： | 湖北大学经管系 |
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| 摘 要： | 在有限群理论中,确定n阶群的构造是一个分类问题。本文试图确定3p~3(p是奇素数,且p≠3)阶群的构造,即证明下面的定理: 令p是一个素数,则3p~3(p≠3)阶群有 (1)7种类型,当p≠1(mod3)。 (2)19种类型,当p=1(mod3)。
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| 关 键 词： | 群 3p^3阶 有限群 同构 剩余类群 |
GROUPS OF ORDER 3p~3 |
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| Wang Junqin. GROUPS OF ORDER 3p~3[J]. Journal of Hubei University(Natural Science Edition), 1991, 13(3): 244-249 |
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| Authors: | Wang Junqin |
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| Affiliation: | Department of Economic Administration |
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| Abstract: | The paper tries to solve the problem of order 3p3 group-p is an odd number and - using directly the theory of the relation and the extension of sylow subgroup. In the paper,the following theorem is Proved:Let p be an odd number, order (p=S) 3p3 group has(l)seven types,when p=l (mod3)(2)nineteen types,when p=l(mod3) |
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| Keywords: | Isomorphism Residue class group Cyclic group Normal Subgroup Factor group. |
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