6 citations · 15 across the 10 of their papers we have counts for
11 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…
Effective equation solving, constraints and growth in virtually abelian groups
Laura Ciobanu, Alex Evetts, Alex Levine
In this paper we study the satisfiability and solutions of group equations when combinatorial, algebraic and language-theoretic constraints are imposed on the solutions. We show th…
Rational sets in virtually abelian groups: languages and growth
Laura Ciobanu, Alex Evetts
In this paper we generalise and unify the results and methods used by Benson, Liardet, Evetts, and Evetts & Levine, to show that rational sets in a virtually abelian group G have r…
Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups
Andrew Duncan, Alex Evetts, Derek F. Holt +1
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups , , and show that these sets are represented by EDT0L languages in some cases…
Conjugacy growth in the higher Heisenberg groups
Alex Evetts
We calculate asymptotic estimates for the conjugacy growth function of finitely generated class 2 nilpotent groups whose derived subgroup is infinite cyclic, including the so-calle…
Equations in virtually abelian groups: languages and growth
Alex Evetts, Alex Levine
This paper explores the nature of the solution sets of systems of equations in virtually abelian groups. We view this question from two angles. From a formal language perspective,…
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…