$R_{\infty}$-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length

Fuente: arXiv
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Autores principales: Dekimpe, Karel, Lathouwers, Maarten
Formato: Preprint
Publicado: 2024
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author Dekimpe, Karel
Lathouwers, Maarten
author_facet Dekimpe, Karel
Lathouwers, Maarten
contents In this paper we will show that finitely generated torsion-free 2-step nilpotent groups of Hirsch length at most 6 do not have the $R_{\infty}$-property, while there are examples of such groups of Hirsch length 7 that do have the $R_{\infty}$-property.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05050
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle $R_{\infty}$-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length
Dekimpe, Karel
Lathouwers, Maarten
Group Theory
20F18
In this paper we will show that finitely generated torsion-free 2-step nilpotent groups of Hirsch length at most 6 do not have the $R_{\infty}$-property, while there are examples of such groups of Hirsch length 7 that do have the $R_{\infty}$-property.
title $R_{\infty}$-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length
topic Group Theory
20F18
url https://arxiv.org/abs/2401.05050