| 奇数阶亚循环p-群分类的一个证明 |
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| 引用本文： | 阎满富. 奇数阶亚循环p-群分类的一个证明[J]. 纯粹数学与应用数学, 1999, 15(4): 88-91 |
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| 作者姓名： | 阎满富 |
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| 作者单位： | 唐山师范专科学校数学系,唐山063000 |
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| 摘 要： | 一个有限p群p称为亚循环的,如果P有一个循环的正规子群A,使得PA是循环的.1973年King在文[2]中对亚循环p群进行了分类;在文[4,5]中M.F.NewmanandMingYaoXu发现了这些群的新的表示,给出了新的分类方法,这种方法是由p群生成算法(见文[3])得到的.本文的目的是给这些结果的另一种证明,与p群生成算法是不相关的.
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| 关 键 词： | 分类 亚循环p-群 奇素数阶 |
| 文章编号： | 1008-5513(1999)04-0088-91 |
| 修稿时间： | 1998-12-29 |
A proof of classification of metacyclic p-groups for odd p |
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| Abstract. A proof of classification of metacyclic p-groups for odd p[J]. Pure and Applied Mathematics, 1999, 15(4): 88-91 |
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| Authors: | Abstract |
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| Abstract: | A finite p group P is called metacyclic if it has a cyclic normal subgroup A such that P/A is cyclic. King [2] classified metacyclic p groups. M.F.Newman and Ming yao Xu developed a new approach to metacyclic p groups suggested by a p group generation algorithm they found new representations for these groups [3-5] . This paper gives another proof of these results, independent of the p group generation algorithm. |
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| Keywords: | Classification metacyclic p-groups odd prime power order |
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