@article{57e2f388bd0547f38aad8d066576ebda,
title = "Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II",
abstract = "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.",
keywords = "3-group, Integral group ring, Multiplicative Jordan decomposition",
author = "Liu, {Chia Hsin} and Passman, {D. S.}",
note = "Funding Information: The first author{\textquoteright}s research was supported in part by an NSC grant. The second author{\textquoteright}s research was supported in part by an NSA grant.",
year = "2014",
month = jun,
doi = "10.1080/00927872.2013.766828",
language = "English",
volume = "42",
pages = "2633--2639",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "6",
}