| 特定阶的子群都同构且交换的有限p-群 |
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| 引用本文： | 赵立博,郭秀云. 特定阶的子群都同构且交换的有限p-群[J]. 应用数学与计算数学学报, 2013, 0(4): 517-521 |
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| 作者姓名： | 赵立博 郭秀云 |
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| 作者单位： | 上海大学理学院,上海200444 |
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| 基金项目： | 国家自然科学基金资助项目（11071155） |
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| 摘 要： | 研究某些子群同构的有限p-群是很有趣的.例如,Hermann和Mann都曾研究过极大子群都同构的有限p-群,但这类群的结构非常复杂,到现在人们都没能给出其分类.研究了特定阶的子群都同构且交换的有限p-群,并给出其分类.
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| 关 键 词： | AIi群 亚循环群 内亚循环群 内交换群 |
Finite p-groups whose subgroups of given order are all isomorphic and abelian |
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| ZHAO Li-bo,GUO Xiu-yun. Finite p-groups whose subgroups of given order are all isomorphic and abelian[J]. Communication on Applied Mathematics and Computation, 2013, 0(4): 517-521 |
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| Authors: | ZHAO Li-bo GUO Xiu-yun |
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| Affiliation: | (College of Sciences, Shanghai University, Shanghai 200444, China) |
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| Abstract: | It is quite interesting to investigate finite p-groups in which some kind of subgroups are all isomorphic. For example, Hermann and Mann ever studied finite p-groups whose maximal subgroups are all isomorphic. However, it is dif- ficult to classify this kind of p-groups. In this paper, the finite p-groups whose subgroups given order are all isomorphic and abelian are investigated, and then the classification for this kind of groups is given. |
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| Keywords: | AI i-group meta-cyclic group inner meta-cyclic group inner abeliangroup |
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