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Journal of University of Chinese Academy of Sciences ›› 2015, Vol. 32 ›› Issue (2): 155-157.DOI: 10.7523/j.issn.2095-6134.2015.02.002

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

ZHENG Qian, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2014-01-21 Revised:2014-04-15 Online:2015-03-15
  • Supported by:

    Supported by National Natural Science Foundation of China (11371343)

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]).

Key words: group ring, SK1 group, relative SK1 group, SK2 group

CLC Number: