| 具有良子群合成列的可数阿贝尔p-群是简单表示p-群的直接证明 |
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| 引用本文： | 凌锦华.具有良子群合成列的可数阿贝尔p-群是简单表示p-群的直接证明[J].华中师范大学学报(自然科学版),1988,27(1):0-0. |
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| 作者姓名： | 凌锦华 |
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| 作者单位： | 华中师范大学数学系 |
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| 摘 要： | 已有的关于具有良子群合成列的阿贝尔p-群是简单表示p-群的几个证明都是间接的、比较困难的。本文就可数的情形给出一个直接证明,从中可以清楚地看出两类群结构上的关系。证明中所采用的方法是为具有良子群合成列的可数阿贝尔p-群构造一个p-基。文中引理2和引理3起着重要作用。
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| 关 键 词： | 简单表示p-群 具有良子群合成列的p-群 直接后继元 树丛 结点 |
| 收稿时间： | 1988-01-25 |
A DIRECT PROOF FOR COUNTABLE ABELIAN p-GROUPS WITH NICE COMPOSITION SERIES TO BE SIMPLY PRESENTED |
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| Ling Jinhua.A DIRECT PROOF FOR COUNTABLE ABELIAN p-GROUPS WITH NICE COMPOSITION SERIES TO BE SIMPLY PRESENTED[J].Journal of Central China Normal University(Natural Sciences),1988,27(1):0-0. |
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| Authors: | Ling Jinhua |
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| Institution: | Department of Mathematics |
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| Abstract: | The proofs for abelian p-groups with nice composition series to be simply presented are all indirect and not easy. In this paper we give a direct proof for countable case, from which one may see clearly the relation between the structures of these two classes of groups. The method used here is to constitute a p-basis for countable abolian p-groups with nice composition series. Lemma 2 and 3 are important. |
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| Keywords: | simply presenped p-group: p-group with nice composition series immediatete successor forest node |
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