Add to ORKGWe give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability invariance of acylindrical hyperbolicity of finitely generated groups.Comment: Version 2. Minor typos were correcte
Abstract. Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property ...
We use basic tools of descriptive set theory to prove that a closed set $\mathcal S$ of marked group...
We define and develop the notion of a discretisable quasi-action. It is shown that a cobounded quasi...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
dissertationThis document contains results in a couple of nonrelated areas of geometric group theory...
We show that a finitely generated subgroup of the genus two handlebody group is stable if and only i...
Abstract. We consider two families of subgroups of a group. Each subgroup which belongs to one famil...
V2: correction of a mistake in the introductionWe provide a proof that the classes of finitely gener...
For a finitely generated group $G$ and collection of subgroups $\mathcal{P}$ we prove that the relat...
We say that a countable discrete group $\Gamma$ satisfies the invariant von Neumann subalgebras rigi...
We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of orientation-preserving quasi-isometries of ...
International audienceWe remark that the conjugacy problem for pairs of hyperbolic automorphisms of ...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Abstract. Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property ...
We use basic tools of descriptive set theory to prove that a closed set $\mathcal S$ of marked group...
We define and develop the notion of a discretisable quasi-action. It is shown that a cobounded quasi...
Abstract. We demonstrate the quasi-isometry invariance of two important geometric struc-tures for re...
We study a family of finitely generated residually finite small cancellation groups. These groups ar...
We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts...
dissertationThis document contains results in a couple of nonrelated areas of geometric group theory...
We show that a finitely generated subgroup of the genus two handlebody group is stable if and only i...
Abstract. We consider two families of subgroups of a group. Each subgroup which belongs to one famil...
V2: correction of a mistake in the introductionWe provide a proof that the classes of finitely gener...
For a finitely generated group $G$ and collection of subgroups $\mathcal{P}$ we prove that the relat...
We say that a countable discrete group $\Gamma$ satisfies the invariant von Neumann subalgebras rigi...
We prove that the group $\mathrm{QI}^{+}(\mathbb{R})$ of orientation-preserving quasi-isometries of ...
International audienceWe remark that the conjugacy problem for pairs of hyperbolic automorphisms of ...
We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any qua...
Abstract. Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property ...
We use basic tools of descriptive set theory to prove that a closed set $\mathcal S$ of marked group...
We define and develop the notion of a discretisable quasi-action. It is shown that a cobounded quasi...