| 吕恒,陈贵云.可除阿贝尔p-群的自同构群[J].数学年刊A辑,2009,30(6):751~760 |
| 可除阿贝尔p-群的自同构群 |
| On the Automorphism Groups of Divisible Abelian p-Groups |
| Received:April 22, 2009 |
| DOI： |
| 中文关键词: 拟循环p-群,可除阿贝尔p-群,自同构群 |
| 英文关键词:Quasicyclic p-groups, Divisible abelian p-groups, Automorphism groups |
| 基金项目: |
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| 中文摘要: |
| 主要探讨了秩大于或者等于p-1的可除阿贝尔p-群的p-自同构群,并且得到这些p-自同构如何作用在该可除阿贝尔p-群上.这些结论有助于进一步理解 ?ernikov p-群的结构. |
| 英文摘要: |
| The authors investigate how the p-automorphism of a divisible Abelian p-group $G$ of rank p-1 or p acts on the group G and get the order of p-automorphism groups of a divisible Abelian p-group of rank p-1 or p. These results are helpful to get a description of the detailed structure of ?ernikov p-group. |
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