Karel Dekimpe

activity

20242026

most citedThe R

_{\infty}

-property for braid groups over orientable surfaces

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.AT2026

Nielsen coincidence theory for $(n, 1)$ -valued pairs

Karel Dekimpe, Lore De Weerdt

We generalise Nielsen theory to coincidences of pairs $(f, g)$ where $f : X ⊸ Y$ is $n$ -valued multimap and $g : X \to Y$ is a single-valued map, for $X$ and $Y$ closed oriented t…

math.GR2026

Cohomological and quasi-isometric diversity of groups with property $R_{\infty}$

Karel Dekimpe, Paula M. Lins de Araujo, Yuri Santos Rego

How rich is the collection of groups with a given prominent property? In this work we approach this question for property~ $R_{\infty}$ , which says that every automorphism $φ$ of a gi…

math.GT2025★ 1 cited

The R $_{\infty}$ -property for braid groups over orientable surfaces

Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo

Let $Σ_{g, p}$ be an orientable surface of genus $g$ and of finite type without boundary (i.e. an orientable closed surface with a finite number $p$ of points removed). In this pape…

math.GR2024★ 1 cited

Characteristic subgroups and the R $_{\infty}$ -property for virtual braid groups

Karel Dekimpe, Daciberg Lima Gonçalves, Oscar Ocampo

Let $n \geq 2$ . Let $V B_{n}$ (resp. $V P_{n}$ ) denote the virtual braid group (resp. virtual pure braid group), let $W B_{n}$ (resp. $W P_{n}$ ) denote the welded braid group (resp. welded pure…

math.GR2024

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

Karel Dekimpe, Maarten Lathouwers

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 o…

math.GR2024

The twisted conjugacy growth of virtually abelian groups

Karel Dekimpe, Maarten Lathouwers

In this paper, we study the asymptotics of several growth functions related to twisted conjugacy on virtually abelian groups. First, we study the twisted conjugacy growth function,…

Nielsen coincidence theory for (n,1)-valued pairs

Cohomological and quasi-isometric diversity of groups with property R∞​

The R∞​-property for braid groups over orientable surfaces

Characteristic subgroups and the R∞​-property for virtual braid groups