Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II

Chia Hsin Liu, D. S. Passman

研究成果: 雜誌貢獻文章同行評審

2 引文 斯高帕斯(Scopus)

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 (1) 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 33 = 27.

原文英語
頁(從 - 到)2633-2639
頁數7
期刊Communications in Algebra
42
發行號6
DOIs
出版狀態已發佈 - 2014 六月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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