23 citations · 112 across the 42 of their papers we have counts for
4 papers · 1 filter
Groups acting freely on -trees
O. Kharlampovich, A. Myasnikov, D. Serbin
A group is called -free if it has a free Lyndon length function in an ordered abelian group , which is equivalent to having a free isometric action on a -tree. A group has…
Groups with free regular length functions in Z^n
Olga Kharlampovich, Alexei Miasnikov, Vladimir Remeslennikov +1
This is the first paper in a series of three where we take on the unified theory of non-Archimedean group actions, length functions and infinite words. Our main goal is to show tha…
Equations and fully residually free groups
Olga Kharlampovich, Alexei Myasnikov
This paper represents notes of the mini-courses given by the authors at the GCGTA conference in Dortmund (2007), Ottawa-Saint Sauveur conference (2007), Escola d'Algebra in Rio de…
Limits of relatively hyperbolic groups and Lyndon's completions
O. Kharlampovich, A. Myasnikov
In this paper we describe finitely generated groups universally equivalent (with constants from in the language) to a given torsion-free relatively hyperbolic group wit…