Coleman Automorphisms of Some Metabelian Groups

In this study, the approach is through the projective limits, and we obtain some characterizations of the Coleman automorphism groups of a split metabelian group and a generalized dicyclic group. An application of our results is a generalization of the result of Z. Li and Y. Li.

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Main Authors: Jingjing Hai, Yanxia Li, Xian Ling
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/5153199
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author Jingjing Hai
Yanxia Li
Xian Ling
author_facet Jingjing Hai
Yanxia Li
Xian Ling
author_sort Jingjing Hai
collection DOAJ
description In this study, the approach is through the projective limits, and we obtain some characterizations of the Coleman automorphism groups of a split metabelian group and a generalized dicyclic group. An application of our results is a generalization of the result of Z. Li and Y. Li.
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institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-6bf146c7327241219981be68d22832c32025-02-03T01:32:37ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5153199Coleman Automorphisms of Some Metabelian GroupsJingjing Hai0Yanxia Li1Xian Ling2College of Quality and StandardizationCollege of Mathematics and StatisticsCollege of Mathematics and StatisticsIn this study, the approach is through the projective limits, and we obtain some characterizations of the Coleman automorphism groups of a split metabelian group and a generalized dicyclic group. An application of our results is a generalization of the result of Z. Li and Y. Li.http://dx.doi.org/10.1155/2022/5153199
spellingShingle Jingjing Hai
Yanxia Li
Xian Ling
Coleman Automorphisms of Some Metabelian Groups
Journal of Mathematics
title Coleman Automorphisms of Some Metabelian Groups
title_full Coleman Automorphisms of Some Metabelian Groups
title_fullStr Coleman Automorphisms of Some Metabelian Groups
title_full_unstemmed Coleman Automorphisms of Some Metabelian Groups
title_short Coleman Automorphisms of Some Metabelian Groups
title_sort coleman automorphisms of some metabelian groups
url http://dx.doi.org/10.1155/2022/5153199
work_keys_str_mv AT jingjinghai colemanautomorphismsofsomemetabeliangroups
AT yanxiali colemanautomorphismsofsomemetabeliangroups
AT xianling colemanautomorphismsofsomemetabeliangroups