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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	3308-3323
Number of pages	16
Journal	Communications in Algebra
Volume	44
Issue number	8
DOIs	https://doi.org/10.1080/00927872.2015.1044104
Publication status	Published - 2016 Aug 2

Keywords

Dedekind group
NCN group
Noncyclic subgroups normal
Normality condition
SN group
SSN group

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2015.1044104

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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,

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doi = "10.1080/00927872.2015.1044104",

language = "English",

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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

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U2 - 10.1080/00927872.2015.1044104

DO - 10.1080/00927872.2015.1044104

M3 - Article

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SP - 3308

EP - 3323

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

Groups with Certain Normality Conditions

Abstract

Keywords

ASJC Scopus subject areas

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