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

Chia Hsin Liu; D. S. Passman

doi:10.1080/00927872.2013.766828

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

Chia Hsin Liu^*
, D. S. Passman

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 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
卷	42
發行號	6
DOIs	https://doi.org/10.1080/00927872.2013.766828
出版狀態	已發佈 - 2014 6月

ASJC Scopus subject areas

代數與數理論

存取文件

10.1080/00927872.2013.766828

其它文件與鏈接

引用此

@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",

}

TY - JOUR

T1 - Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II

AU - Liu, Chia Hsin

AU - Passman, D. S.

N1 - Funding Information: The first author’s research was supported in part by an NSC grant. The second author’s research was supported in part by an NSA grant.

PY - 2014/6

Y1 - 2014/6

N2 - 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.

AB - 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.

KW - 3-group

KW - Integral group ring

KW - Multiplicative Jordan decomposition

UR - https://www.scopus.com/pages/publications/84893443362

UR - https://www.scopus.com/pages/publications/84893443362#tab=citedBy

U2 - 10.1080/00927872.2013.766828

DO - 10.1080/00927872.2013.766828

M3 - Article

AN - SCOPUS:84893443362

SN - 0092-7872

VL - 42

SP - 2633

EP - 2639

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

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

摘要

ASJC Scopus subject areas

存取文件

其它文件與鏈接

指紋

引用此