| SK1(Ζ[C4×C4], 2Ζ[C4×C4])的结构 |
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| 引用本文： | 杨正国,唐国平. SK1(Ζ[C4×C4], 2Ζ[C4×C4])的结构[J]. 中国科学院大学学报, 2016, 33(3): 298-301. DOI: 10.7523/j.issn.2095-6134.2016.03.002 |
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| 作者姓名： | 杨正国 唐国平 |
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| 作者单位： | 中国科学院大学数学科学学院, 北京 100049 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11371343) |
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| 摘 要： | 主要研究整群环Ζ[C4×C4]的K理论.证明整群环Ζ[C4×C4]的相对SK1群为秩是3的初等阿贝尔群.也证明了K2(Ζ[C4×C4])的4秩至少是1,K2(Ζ[C4×C4])的2秩至少是10.
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| 关 键 词： | 整群环 相对SK1群 K2群 |
Structure of SK1(Ζ[C4×C4], 2Ζ[C4×C4]) |
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| YANG Zhengguo,TANG Guoping. Structure of SK1(Ζ[C4×C4], 2Ζ[C4×C4])[J]. , 2016, 33(3): 298-301. DOI: 10.7523/j.issn.2095-6134.2016.03.002 |
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| Authors: | YANG Zhengguo TANG Guoping |
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| Affiliation: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | In this paper we study the K-theory of the integral group ring Ζ[C4×C4]. We prove that the relative SK1 group of the integral group ring Ζ[C4×C4] is an elementary Abelian group of rank-3. We also show that the 4-rank of K2(Ζ[C4×C4]) is at least 1 and the 2-rank of K2(Ζ[C4×C4]) is at least 10. |
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| Keywords: | integral group ring, SK1 group')" >relative SK1 group, K2 group')" >K2 group |
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