Groups with Certain Normality Conditions

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.

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Bibliographic Details
Published in:	Communications in algebra Vol. 44; no. 8; pp. 3308 - 3323
Main Authors:	Liu, Chia-Hsin, Passman, D. S.
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 02-08-2016
Subjects:	Algebra Classification Decomposition Dedekind group Ingredients Mathematical analysis NCN group Noncyclic subgroups normal Normality Normality condition Rings (mathematics) SN group SSN group Subgroups
Online Access:	Get full text
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Description
Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2015.1044104