| K2(F2[C4×C4])的计算 |
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| 作者姓名： | 陈虹 高玉彬 唐国平 |
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| 作者单位： | 1. 中国科学院研究生院数学科学学院, 北京 100049;
2. 陕西师范大学数学与信息科学学院, 西安 710062 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11071247) |
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| 摘 要： | 把K2(F2C4×C4])的计算归结为计算截断多项式环F2C4t]/(t4)的相对K2－群K2(F2C4t]/(t4),(t)). 运用Dennis-Stein符号及它们之间的关系进行细致的分析计算,给出了K2(F2C4×C4])的一个极小生成元集并最终确定了K2(F2C4×C4])=C34 ⊕ C92.
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| 关 键 词： | K2-群 Dennis-Stein符号 群环 |
| 收稿时间： | 2010-09-06 |
| 修稿时间： | 2010-09-26 |
Calculation of K2(F2[C4×C4]) |
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| Authors: | CHEN Hong GAO Yu-Bin TANG Guo-Ping |
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| Institution: | 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062,China |
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| Abstract: | First, we reduce the calculation of K2(F2C4×C4]) to that of the relative K2-group K2(F2C4t]/(t4),(t)) of the truncated polynomial ring F2C4t]/(t4). Then we give a minimal generating set of K2(F2C4×C4]) by subtle calculations of Dennis-Stein symbols. Finally we show that K2(F2C4×C4])=C34 ⊕ C92. |
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| Keywords: | K2-group Dennis-Stein symbols group ring |
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