48 citations · 144 across the 24 of their papers we have counts for
4 papers · 1 filter
Partial periodic quotient of groups acting on a hyperbolic space
Rémi Coulon
In this article, we construct partial periodic quotients of groups which have a non-elementary acylindrical action on a hyperbolic space. In particular, we provide infinite quotien…
A Cartan-Hadamard type result for relatively hyperbolic groups
Rémi Coulon, Michael Hull, Curtis Kent
In this article, we prove that if a finitely presented group has an asymptotic cone which is tree-graded with respect to a precise set of pieces then it is relatively hyperbolic. T…
Growth and order of automorphisms of free groups and free Burnside groups
Rémi Coulon, Arnaud Hilion
We prove that an outer automorphism of the free group is exponentially growing if and only if it induces an outer automorphism of infinite order of free Burnside groups with suffic…
Small cancellation theory and Burnside problem
Rémi Coulon
In these notes we detail the geometrical approach of small cancellation theory used by T. Delzant and M. Gromov to provide a new proof of the infiniteness of free Burnside groups a…