Lukas Vandeputte

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20242026

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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

Twisted Conjugacy Growth of the Generalised Heisenberg Groups

Lukas Vandeputte

We determine the twisted conjugacy growth function for automorphisms on generalised Heisenberg groups. In particular we demonstrate for these groups that up to a natural equivalenc…

math.GR2025

Residual finiteness properties of some of Halls groups

Lukas Vandeputte

In this article we study a class of central extensions of $Z ≀ Z$ , as first described by Hall. On the one hand, we consider groups of this type with cyclic centre…

math.GR2025

Independence of the conjugacy problem and conjugacy separability

Lukas Vandeputte

We construct a class of finitely generated groups which have arbitrarily large conjugacy separability function, but in which the conjugacy problem can be solved in polynomial time,…