3 papers
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 , 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,…