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K2(Z[(Cp)2×Cpn])p-秩的一个下界

  • 郑骞 ,
  • 唐国平
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  • 中国科学院大学数学科学学院, 北京 100049

收稿日期: 2014-01-21

  修回日期: 2014-04-15

  网络出版日期: 2015-03-15

基金资助

Supported by National Natural Science Foundation of China (11371343)

A lower bound of p-rank of K2(Z[(Cp)2×Cpn])

  • ZHENG Qian ,
  • TANG Guoping
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2014-01-21

  Revised date: 2014-04-15

  Online published: 2015-03-15

Supported by

Supported by National Natural Science Foundation of China (11371343)

摘要

首先, 把K2(Z[(Cp)2×Cpn])p-秩的计算约化为对特定正合列的估计, 然后, 给出SK1(ZG, pZG)元素个数的一个上界;最后, 得到K2(Z[(Cp)2×Cpn])p-秩的一个下界.

关键词: 群环; SK1; 相对SK1; K2

本文引用格式

郑骞 , 唐国平 . K2(Z[(Cp)2×Cpn])p-秩的一个下界[J]. 中国科学院大学学报, 2015 , 32(2) : 155 -157 . DOI: 10.7523/j.issn.2095-6134.2015.02.002

Abstract

First, we reduce the calculation of K2(Z[(Cp)2×Cpn])p to estimation of an exact sequence. Then, we get a higher bound of p-rank of SK1(Z[G], pZ[G]). Finally, we get a lower bound of p-rank of K2(Z[(Cp)2×Cpn]).

参考文献

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