5 papers · 1 filter
Counting automorphic orbits in finitely generated groups
Luna Elliott, Alex Evetts, Alex Levine
We study an analogue of the conjugacy growth function in finitely generated groups: the automorphic growth function. This counts the number of automorphic orbits that intersect the…
On groups with EDT0L word problem
Alex Bishop, Murray Elder, Alex Evetts +2
We prove that the word problem for the infinite cyclic group is not EDT0L, and obtain as a corollary that a finitely generated group with EDT0L word problem must be torsion. In add…
Twisted conjugacy growth series of virtually abelian groups
Alex Evetts, Maarten Lathouwers
We initiate the study of the \emph{twisted conjugacy growth series} of a finitely generated group, the formal power series associated to the twisted conjugacy growth function. Our…
The conjugacy growth of the soluble Baumslag-Solitar groups
Laura Ciobanu, Alex Evetts, Meng-Che "Turbo" Ho
In this paper we give asymptotics for the conjugacy growth of the soluble Baumslag-Solitar groups , , with respect to the standard generating set, by providing a…
Rational Growth in Virtually Abelian Groups
Alex Evetts
We show that any subgroup of a finitely generated virtually abelian group grows rationally relative to , that the set of right cosets of any subgroup of grows rationally…