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Calculation of K1 group of some integral group rings
Received date: 2010-04-27
Revised date: 2010-05-20
Online published: 2011-03-15
The integral group ring ZG is an important ring structure. This paper focuses on the calculation of the K1 groups of integral group rings. The key point of the problem lies in the calculation of their corresponding SK1 group rings. The SK1 groups of the integral group rings of p groups are relatively easy to calculate,but the SK1 groups of the integral group rings of non-p groups are relatively diffcult to calculate. This article discusses the basic theory of the problem.Furthermore,this article also treats the groups whose orders are p1q1 and discusses the calculation of the SK1 group rings of their integral group rings.
Key words： integral group ring ZG; K1 group; SK1 group; p group; non-p group
LIU Jia-Qi , GAO Yu-Bin . Calculation of K1 group of some integral group rings[J]. Journal of University of Chinese Academy of Sciences, 2011 , 28(2) : 141 -146 . DOI: 10.7523/j.issn.2095-6134.2011.2.002
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