| 二秩无扭群的自同构群和只有两个自同构的二秩无扭群 |
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| 引用本文： | 马传贵,张兆基. 二秩无扭群的自同构群和只有两个自同构的二秩无扭群[J]. 数学学报, 1998, 41(4): 801-806. DOI: cnki:ISSN:0583-1431.0.1998-04-021 |
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| 作者姓名： | 马传贵 张兆基 |
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| 作者单位： | 浙江大学应用数学系 |
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| 摘 要： | 本文利用Ｋｕｒǒｓ不变量理论和不定方程理论，讨论了二秩无扭群的自同构群，以及有零高元的二秩无扭群只有两个自同构的充要条件．
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| 关 键 词： | 自同构群，代数数，Pell方程 |
Automorphism Groups of Torsion-free Groups of Rank 2 and Torsion-free Groups with Two Automorphisms |
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| Ma Chuangui Zhang Zhaoji. Automorphism Groups of Torsion-free Groups of Rank 2 and Torsion-free Groups with Two Automorphisms[J]. Acta Mathematica Sinica, 1998, 41(4): 801-806. DOI: cnki:ISSN:0583-1431.0.1998-04-021 |
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| Authors: | Ma Chuangui Zhang Zhaoji |
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| Affiliation: | Ma Chuangui Zhang Zhaoji (Department of Mathematics, Zhejiang University, Hangzhou 310027, China) |
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| Abstract: | By using Kurǒs invariant theory we present a method of determing automorphisms of torsion-free groups of rank 2 and study the structures of torsion-free groups having elements of height-zero and two automo rphisms, namely, we give necessary and sufficient conditions for these groups relative to their parameters. |
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| Keywords: | Automorphism group Algebraic number Pell equation |
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