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Calculation of K2(F2[C4×C4])
Received date: 2010-09-06
Revised date: 2010-09-26
Online published: 2011-07-15
Supported by
Supported by National Natural Science Foundation of China(11071247)
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])=C34 ⊕ C92.
Key words： K2-group; Dennis-Stein symbols; group ring
CHEN Hong , GAO Yu-Bin , TANG Guo-Ping . Calculation of K2(F2[C4×C4])[J]. Journal of University of Chinese Academy of Sciences, 2011 , 28(4) : 419 -423 . DOI: 10.7523/j.issn.2095-6134.2011.4.001
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