A remark on normal closures in free products of groups

Fuente: arXiv
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Autore principale: Zangurashvili, Dali
Natura: Preprint
Pubblicazione: 2023
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author Zangurashvili, Dali
author_facet Zangurashvili, Dali
contents It is shown that a nontrivial normal subgroup $N$ of a group $G$ is a free factor of the $N$'s normal closure in the $G$'s free product with arbitrary nontrivial groups.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03335
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A remark on normal closures in free products of groups
Zangurashvili, Dali
Group Theory
20E06, 20E07, 20E15, 20J15
It is shown that a nontrivial normal subgroup $N$ of a group $G$ is a free factor of the $N$'s normal closure in the $G$'s free product with arbitrary nontrivial groups.
title A remark on normal closures in free products of groups
topic Group Theory
20E06, 20E07, 20E15, 20J15
url https://arxiv.org/abs/2401.03335