网络出版日期: 2016-05-15
基金资助
Supported by National Natural Science Foundation of China(11371343)
Structure of SK1(Ζ[C4×C4], 2Ζ[C4×C4])
Online published: 2016-05-15
Supported by
Supported by National Natural Science Foundation of China(11371343)
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
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.
Key words： integral group ring; relative SK1 group; K2 group
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