Jonas Der'e

collaborators

6 papers

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.DG2026

Nice bases for Lie algebras

Jonas Deré, Jeroen Gantois

The concept of a nice basis for a Lie algebra was introduced to study the Ricci curvature on nilpotent Lie groups equipped with a left-invariant metric. Despite the many applicatio…

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…