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Title: Isolated subgroups of finite abelian groups (English)
Author: Tărnăuceanu, Marius
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 72
Issue: 2
Year: 2022
Pages: 615-620
Summary lang: English
Category: math
Summary: We say that a subgroup $H$ is isolated in a group $G$ if for every $x\in G$ we have either $x\in H$ or $\langle x\rangle \cap H=1$. We describe the set of isolated subgroups of a finite abelian group. The technique used is based on an interesting connection between isolated subgroups and the function sum of element orders of a finite group. (English)
Keyword: finite abelian group
Keyword: isolated subgroup
Keyword: sum of element orders
MSC: 20K01
MSC: 20K27
idZBL: Zbl 07547223
idMR: MR4412778
DOI: 10.21136/CMJ.2022.0085-21
Date available: 2022-04-21T19:07:10Z
Last updated: 2022-09-08
Stable URL:
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