4 papers
Concise formulae in groups of non-positive curvature
Laura Ciobanu, Martina Conte
We show that first-order formulae are concise in acylindrically hyperbolic groups and certain extensions thereof. We study further classes of groups, including Burnside groups, icc…
Twisted commutativity and conjugacy ratio in groups
Laura Ciobanu, Gemma Crowe, Pieter Senden +1
In this paper we introduce and study the degree of twisted commutativity and the twisted conjugacy ratio of a finitely generated group . The degree of twisted commutativity $\ma…
Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups
Laura Ciobanu, Anthony Genevois
In this article we construct contracting elements in the standard Cayley graphs of the so-called periagroups, a family of groups introduced by the second-named author which include…
Conjugacy geodesics and growth in dihedral Artin groups
Laura Ciobanu, Gemma Crowe
In this paper we describe conjugacy geodesic representatives in any dihedral Artin group , , which we then use to calculate asymptotics for the conjugacy growth of $…