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K2(Z[C2k×C2n])阶的一个下界

  • 杨正国 ,
  • 唐国平
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  • 中国科学院大学数学学院, 北京 100049

收稿日期: 2013-01-11

  修回日期: 2013-04-23

  网络出版日期: 2013-11-15

基金资助

国家自然科学基金(11071247)资助

A lower bound for the order of K2(Z[C2k×C2n])

  • YANG Zheng-Guo ,
  • TANG Guo-Ping
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2013-01-11

  Revised date: 2013-04-23

  Online published: 2013-11-15

摘要

通过研究整群环Z[C2k×C2n]的群和相对SK1群,给出K2(Z[C2k×C2n])的2-秩的一个下界,也即给出K2(Z[C2k×C2n])的阶的一个下界.

本文引用格式

杨正国 , 唐国平 . K2(Z[C2k×C2n])阶的一个下界[J]. 中国科学院大学学报, 2013 , 30(6) : 721 -723 . DOI: 10.7523/j.issn.2095-6134.2013.06.001

Abstract

This paper mainly studies the SK1 and relative SK1 group of the integral group ring of Z[C2k×C2n]. A lower bound of 2-rank of K2(Z[C2k×C2n]) is given, therefore a lower bound for the order of K2(Z[C2k×C2n]) is established.

参考文献

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[3] Dennis R K, Keating M E, Stein M R. Lower bounds for the order of K2( Z G) and Wh2(G)[J]. Math Ann, 1976, 223:97-103.

[4] Rosenberg J. Algebraic K-theory and its applications[M]. New York: Springer-Verlag, 1994: GTM 147.

[5] Alperin R C, Dennis R K, Oliver R, et al. SK1 of finite abelian groups[J]. Ⅱ Invent Math, 1987, 87:253-302.

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[7] Akhmet' ev P M. K2 for the simplest integral group rings and topological applications[J]. Sbornik:Mathematics, 2003, 194(1):21-29.

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