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
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,…
math.GR2024
Effective conjugacy separability of virtually abelian groups
Jonas Deré, Lukas Vandeputte
A natural question for groups is which data can be detected in its finite quotients. A subset is called separable if for all , there exists an…