4 papers
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…
Conjugacy Class Growth in Virtually Abelian Groups
Aram Dermenjian, Alex Evetts
We study the conjugacy class growth function in finitely generated virtually abelian groups. That is, the number of elements in the ball of radius in the Cayley graph which int…