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

Autor:	Chia Hsin Liu, D. S. Passman
Rok vydání:	2014
Předmět:	Combinatorics Jordan matrix symbols.namesake Algebra and Number Theory Multiplicative group Multiplicative function symbols Order (group theory) Multiplicative order Abelian group Group ring Jordan decomposition Mathematics
Zdroj:	Communications in Algebra. 42:2633-2639
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927872.2013.766828
Popis:	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 33 = 27.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7e83a6955a686eed526bace63dd924c7 https://doi.org/10.1080/00927872.2013.766828 Zobrazit plný text záznamu