摘要

In this paper, we complete the classification of those finite 3-groups G whose integral group rings have the multiplicative Jordan decomposition property. If G is abelian, then it is clear that Z[G] satisfies the multiplicative Jordan decomposition (MJD). In the nonabelian case, we show that Z[G] satisfies MJD if and only if G is one of the two nonabelian groups of order 3(3)=27.

  • 出版日期2014-6-3