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›› 2019, Vol. 36 ›› Issue (4): 444-448.DOI: 10.7523/j.issn.2095-6134.2019.04.002

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K1 groups of integral group rings for some types of finite abelian groups

WANG Zuoen, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences Beijing 100049, China
  • Received:2018-01-29 Revised:2018-04-27 Online:2019-07-15

Abstract: Let G be a finite abelian group. Its integral group ring ZG is a Z-order in QG. Let Γ be the maximal Z-order in QG containing ZG. We calculate the index of K1(ZG) in K1(Γ) for some types of finite abelian groups.

Key words: integral group ring, Z-order, kernel group D(ZG), K1 group K1(ZG), Whitehead group Wh(G)

CLC Number: