Multiplicative Jordan decomposition in group rings and p-groups with all noncyclic subgroups normal

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3 引文 斯高帕斯(Scopus)

摘要

Let p be a prime and let G be a finite p-group. We show that if the integral group ring Z[G] satisfies the multiplicative Jordan decomposition property, then every noncyclic subgroup of G is normal. This is used to simplify the work of Hales, Passi and Wilson on the classification of integral group rings of finite 2-groups with the multiplicative Jordan decomposition property.

原文英語
頁(從 - 到)300-313
頁數14
期刊Journal of Algebra
371
DOIs
出版狀態已發佈 - 2012

ASJC Scopus subject areas

  • Algebra and Number Theory

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