Groups with Certain Normality Conditions

Chia Hsin Liu; D. S. Passman

doi:10.1080/00927872.2015.1044104

Groups with Certain Normality Conditions

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

2 引文斯高帕斯（Scopus）

摘要

We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group rings.

原文	英語
頁（從 - 到）	3308-3323
頁數	16
期刊	Communications in Algebra
卷	44
發行號	8
DOIs	https://doi.org/10.1080/00927872.2015.1044104
出版狀態	已發佈 - 2016 8月 2

ASJC Scopus subject areas

代數與數理論

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10.1080/00927872.2015.1044104

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@article{34ad178658504af097b771c1fbb2c37a,

title = "Groups with Certain Normality Conditions",

abstract = "We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group rings.",

keywords = "Dedekind group, NCN group, Noncyclic subgroups normal, Normality condition, SN group, SSN group",

author = "Liu, \{Chia Hsin\} and Passman, \{D. S.\}",

note = "Publisher Copyright: {\textcopyright} 2016, Copyright {\textcopyright} Taylor \& Francis Group, LLC.",

year = "2016",

month = aug,

day = "2",

doi = "10.1080/00927872.2015.1044104",

language = "English",

volume = "44",

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journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

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TY - JOUR

T1 - Groups with Certain Normality Conditions

AU - Liu, Chia Hsin

AU - Passman, D. S.

PY - 2016/8/2

Y1 - 2016/8/2

N2 - We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group rings.

AB - We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group rings.

KW - Dedekind group

KW - NCN group

KW - Noncyclic subgroups normal

KW - Normality condition

KW - SN group

KW - SSN group

UR - https://www.scopus.com/pages/publications/84969920411

UR - https://www.scopus.com/pages/publications/84969920411#tab=citedBy

U2 - 10.1080/00927872.2015.1044104

DO - 10.1080/00927872.2015.1044104

M3 - Article

AN - SCOPUS:84969920411

SN - 0092-7872

VL - 44

SP - 3308

EP - 3323

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

Groups with Certain Normality Conditions

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