Jonas Der'e

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math.GR2026

Uniform Upper Bounds for Conjugacy Separability Growth in Nilpotent Groups

Jonas Deré, Lukas Vandeputte

A group is conjugacy separable if every pair of non-conjugate elements remains non-conjugate in some finite quotient. Virtually polycyclic groups, and hence in particular all finit…

math.GR2026

Conjugator length in nilpotent groups

Jonas Deré, Ken Vandermeersch

For every rational number $α \geq 2$ , we construct a 2-step nilpotent group with conjugator length function $CL (n) ≃ n^{α}$ . We deduce that the nilpotent conjugator…

math.GR2026

Automorphisms and monomorphisms of direct products of virtually solvable minimax groups

Jonas Deré, Ken Vandermeersch

This paper studies automorphisms and monomorphisms of direct products $Γ = Γ_{1} \times \dots \times Γ_{r}$ of finitely generated virtually solvable minimax groups, a class containing all v…

math.GR2025

Residual Finiteness Growth in Virtually Nilpotent Groups

Jonas Deré, Joren Matthys, Lukas Vandeputte

The residual finiteness growth $RF_{G} : N \to N$ of a finitely generated group $G$ is a function that gives the smallest value of the index $[G : N]$ with $N$ …

math.GR2025

Residual Finiteness Growth in Minimax Groups

Jonas Deré, Joren Matthys

If $g \in G$ is a non-trivial element in a residually finite group, then there exists by definition a finite group $Q$ and a homomorphism $φ : G \to Q$ such that $φ (g) \neq = e$ . The r…