Maarten Lathouwers

collaborators

4 papers

math.GR2024

Twisted conjugacy growth series of virtually abelian groups

Alex Evetts, Maarten Lathouwers

We initiate the study of the \emph{twisted conjugacy growth series} of a finitely generated group, the formal power series associated to the twisted conjugacy growth function. Our…

math.GR2024

$R_{\infty}$ -property for groups commensurable to nilpotent quotients of RAAGs

Maarten Lathouwers, Thomas Witdouck

Let $G$ be a group and $φ$ an automorphism of $G$ . Two elements $x, y \in G$ are said to be $φ$ -conjugate if there exists a third element $z \in G$ such that $z x φ (z)^{- 1} = y$ . Be…

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,…

Twisted conjugacy growth series of virtually abelian groups

R∞​-property for groups commensurable to nilpotent quotients of RAAGs

R∞​-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length

The twisted conjugacy growth of virtually abelian groups

$R_{\infty}$ -property for groups commensurable to nilpotent quotients of RAAGs

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