| Some Properties of Aut（X） and the Subgroup Aut∑（X） |
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| 作者姓名： | QIAN YOU-HUA CHEN SHENG-MIN |
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| 作者单位： | College of Mathematics, Physics and Information Engineering, Zhejiang Normal University,Jinhua, Zhejiang, 321004 |
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| 基金项目： | 国家自然科学基金，the Program Young Teacher in Higher Education Institution of Zhejiang |
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| 摘 要： | Let Aut. （X） denote the group of homotopy classes of self-homotopy equivalences of X, which induce identity automorphisms of homology group. We describe a decomposition of Aut. （X1 V…VXn） as a product of its simpler subgroups. We consider the subgroup Aut∑（X） of all self homotopy classes α of X such that ∑α=1∑X： ∑X → ∑X, and also give some properties of Aut∑（X）.
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| 关 键 词： | 自治 分组 自同伦等价 性质 同源性 分解 |
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