Ken Vandermeersch

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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

Nilpotent groups with Dehn function $n^{2} lo g n$

Ken Vandermeersch

We exhibit 2-step Carnot groups with Dehn function $n^{2} lo g n$ , sharpening Wenger's superquadratic lower bound for these groups. Some of these groups admit lattices, yielding fini…

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…

Conjugator length in nilpotent groups

Nilpotent groups with Dehn function n2logn

Automorphisms and monomorphisms of direct products of virtually solvable minimax groups

Nilpotent groups with Dehn function $n^{2} lo g n$