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›› 2011, Vol. 28 ›› Issue (4): 419-423.DOI: 10.7523/j.issn.2095-6134.2011.4.001

• Research Articles •     Next Articles

Calculation of K2(F2[C4×C4])

CHEN Hong1, GAO Yu-Bin2, TANG Guo-Ping1   

  1. 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062,China
  • Received:2010-09-06 Revised:2010-09-26 Online:2011-07-15
  • Supported by:

    Supported by National Natural Science Foundation of China(11071247)

Abstract:

First, we reduce the calculation of K2(F2[C4×C4]) to that of the relative K2-group K2(F2C4[t]/(t4),(t)) of the truncated polynomial ring F2C4[t]/(t4). Then we give a minimal generating set of K2(F2[C4×C4]) by subtle calculations of Dennis-Stein symbols. Finally we show that K2(F2[C4×C4])=C34C92.

Key words: K2-group, Dennis-Stein symbols, group ring

CLC Number: