AbstractWe prove that fundamental groups of closed oriented surfaces ∑g of genus g ≥ 2 are growth tight with respect to hyperbolic metrics and to the word metric relative to their canonical presentation: this means that the exponential growth rate of π1 (∑g, with respect to these metrics, is always strictly greater than the corresponding growth rate of any of its proper quotients. As an application, we give a new, purely analytic proof of Hopficity of surface groups
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
The graphic work of M. C. Escher is much appreciated by mathematicians and is also enjoyed by a muc...
AbstractWe prove that fundamental groups of closed oriented surfaces ∑g of genus g ≥ 2 are growth ti...
We establish growth tightness for a class of groups acting geometrically on a geodesic metric space ...
Abstract. We show that every group G with no cyclic subgroup of fi-nite index that acts properly and...
International audienceWe show that every group G with no cyclic subgroup of finite index that acts p...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
Abstract. We introduce and systematically study the concept of a growth tight action. This generaliz...
Abstract. We introduce and systematically study the concept of a growth tight action. This generaliz...
This paper is a survey on the "growth tightness" results for discrete groups and fundamental groups...
We introduce and systematically study the concept of a growth tight action. This generalizes growth ...
Abstract. A group action on a metric space is called growth tight if the exponential growth rate of ...
Abstract. A group action on a metric space is called growth tight if the exponential growth rate of ...
ABSTRACT. – We show that every nontrivial free product, different from the infinite dihedral group, ...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
The graphic work of M. C. Escher is much appreciated by mathematicians and is also enjoyed by a muc...
AbstractWe prove that fundamental groups of closed oriented surfaces ∑g of genus g ≥ 2 are growth ti...
We establish growth tightness for a class of groups acting geometrically on a geodesic metric space ...
Abstract. We show that every group G with no cyclic subgroup of fi-nite index that acts properly and...
International audienceWe show that every group G with no cyclic subgroup of finite index that acts p...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
Abstract. We introduce and systematically study the concept of a growth tight action. This generaliz...
Abstract. We introduce and systematically study the concept of a growth tight action. This generaliz...
This paper is a survey on the "growth tightness" results for discrete groups and fundamental groups...
We introduce and systematically study the concept of a growth tight action. This generalizes growth ...
Abstract. A group action on a metric space is called growth tight if the exponential growth rate of ...
Abstract. A group action on a metric space is called growth tight if the exponential growth rate of ...
ABSTRACT. – We show that every nontrivial free product, different from the infinite dihedral group, ...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
We show that the mapping class group (as well as closely related groups) of an orientable surface wi...
The graphic work of M. C. Escher is much appreciated by mathematicians and is also enjoyed by a muc...