26 citations · 75 across the 27 of their papers we have counts for
4 papers · 2 filters
The generalised word problem in hyperbolic and relatively hyperbolic groups
Laura Ciobanu, Derek Holt, Sarah Rees
We prove that, for a finitely generated group hyperbolic relative to virtually abelian subgroups, the generalised word problem for a parabolic subgroup is the language of a real-ti…
Formal conjugacy growth in acylindrically hyperbolic groups
Yago Antolín, Laura Ciobanu
Rivin conjectured that the conjugacy growth series of a hyperbolic group is rational if and only if the group is virtually cyclic. Ciobanu, Hermiller, Holt and Rees proved that the…
Solution sets for equations over free groups are EDT0L languages
Laura Ciobanu, Volker Diekert, Murray Elder
We show that, given an equation over a finitely generated free group, the set of all solutions in reduced words forms an effectively constructible EDT0L language. In particular, th…
Geodesic growth of right-angled Coxeter groups based on trees
Laura Ciobanu, Alexander Kolpakov
In this paper we exhibit two infinite families of trees and on vertices, such that and are non-isomorphic, co-sp…