6 citations · 6 across the 4 of their papers we have counts for
12 papers
Pregroups and hyperbolicity
Jiayue Li, Denis Serbin
In this paper we study hyperbolicty of the universal group of a pregroup . Given a finitely generated group and a pregroup such that , we provide a…
Detecting conjugacy stability of subgroups in certain classes of groups
Isabel Fernández Martínez, Denis Serbin
In this paper we consider the {\em conjugacy stability} property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we…
Hierarchy for groups acting on hyperbolic -spaces
Andrei-Paul Grecianu, Alexei Myasnikov, Denis Serbin
In their first article, the authors initiated a systematic study of hyperbolic -metric spaces, where is an ordered abelian group, and groups acting on such spaces. The prese…
Groups acting on hyperbolic -metric spaces
Andrei-Paul Grecianu, Alexei Kvaschuk, Alexei Myasnikov +1
In this paper we study group actions on hyperbolic -metric spaces, where is an ordered abelian group. -metric spaces were first introduced by Morgan and Shalen in their s…
Boundaries of -free groups
Andrei Malyutin, Tatiana Nagnibeda, Denis Serbin
In this paper we study random walks on a finitely generated group which has a free action on a -tree. We show that if is non-abelian and acts minimally, freel…
Actions, length functions, and non-archemedian words
Olga Kharlampovich, Alexei Myasnikov, Denis Serbin
In this paper we survey recent developments in the theory of groups acting on -trees. We are trying to unify all significant methods and techniques, both classical and recently…