241 citations
- Université de RennesFR519 papers
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6 papers · 2 filters
Virtually free groups are almost homogeneous
Simon André
Free groups are known to be homogeneous, meaning that finite tuples of elements which satisfy the same first-order properties are in the same orbit under the action of the automorp…
Twisted Patterson-Sullivan measures and applications to amenability and coverings
Rémi Coulon, Rhiannon Dougall, Barbara Schapira +1
Let be two discrete groups acting properly by isometries on a Gromov-hyperbolic space . We prove that their critical exponents coincide if and only if is co-amenable…
Infinite periodic groups of even exponents
Rémi Coulon
We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method is very flexible and can also be used to study (partially) periodic quot…
A non-residually finite group acting uniformly properly on a hyperbolic space
Rémi Coulon, Denis Osin
In this article we produce an example of a non-residually finite group which admits a uniformly proper action on a Gromov hyperbolic space.
Product set growth in groups and hyperbolic geometry
Thomas Delzant, Markus Steenbock
Generalising results of Razborov and Safin, and answering a question of Button, we prove that for every hyperbolic group there exists a constant such that for every finite su…
Hyperbolicity and Cubulability Are Preserved Under Elementary Equivalence
Simon André
The following properties are preserved under elementary equivalence, among finitely generated groups: being hyperbolic (possibly with torsion), being hyperbolic and cubulable, and…