6 papers · 1 filter
Residual Finiteness Growth in Virtually Nilpotent Groups
Jonas Deré, Joren Matthys, Lukas Vandeputte
The residual finiteness growth of a finitely generated group is a function that gives the smallest value of the index with …
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…
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…
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,…
Arbitrary residual finiteness and conjugacy separability growth
Lukas Vandeputte
In a recent paper, Henry Bradford showed that all sufficiently fast growing functions appear as the residual finiteness growth function of some group. In this paper we show that th…
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…