In this paper we obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows us to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known alg…
Preface Acknowledgments Introduction Small cancellation theory of $\mathcal{T}$ Tilings Bibliography.
"We introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for dev…
Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Main results -- 2.1. Hyperbolically embedded subgroups -- 2.2. Rotating families. -- 2.3. Examples -- 2.4. Group theoretic Dehn filling -- 2.5. Applications -- Chapter 3. Preliminaries -- 3.1. General conventions and n…
"We introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for dev…
