Isolated subgroups of finite abelian groups

Tărnăuceanu, Marius. "Isolated subgroups of finite abelian groups." Czechoslovak Mathematical Journal 72.2 (2022): 615-620. <http://eudml.org/doc/298297>.

@article{Tărnăuceanu2022,
abstract = {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.},
author = {Tărnăuceanu, Marius},
journal = {Czechoslovak Mathematical Journal},
keywords = {finite abelian group; isolated subgroup; sum of element orders},
language = {eng},
number = {2},
pages = {615-620},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Isolated subgroups of finite abelian groups},
url = {http://eudml.org/doc/298297},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Tărnăuceanu, Marius
TI - Isolated subgroups of finite abelian groups
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 2
SP - 615
EP - 620
AB - 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.
LA - eng
KW - finite abelian group; isolated subgroup; sum of element orders
UR - http://eudml.org/doc/298297
ER -