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›› 2013, Vol. 30 ›› Issue (6): 721-723.DOI: 10.7523/j.issn.2095-6134.2013.06.001

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

YANG Zheng-Guo, TANG Guo-Ping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2013-01-11 Revised:2013-04-23 Online:2013-11-15

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.

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

CLC Number: