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›› 2016, Vol. 33 ›› Issue (3): 298-301.DOI: 10.7523/j.issn.2095-6134.2016.03.002

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Structure of SK1(Ζ[C4×C4], 2Ζ[C4×C4])

YANG Zhengguo, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Online:2016-05-15
  • Supported by:

    Supported by National Natural Science Foundation of China(11371343) 

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.

Key words: integral group ring, relative SK1 group, K2 group

CLC Number: