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

Karel Dekimpe; Maarten Lathouwers

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arXiv · 2401.05050

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

Karel Dekimpe·Maarten Lathouwers

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Abstract

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.

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Karel Dekimpe, Maarten Lathouwers. 2024-01-10. $R_{\infty}$-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length. https://arxiv.org/abs/2401.05050

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