Скачать или смотреть Carolyn Abbott: Hyperbolically embedded subgroups of acylindrically hyperbolic groups III.

Atelier sur les Géométrie des sous-groupes/ Workshop on Geometry of Subgroups (Mai-May 15-26, 2023)

Mai/May 17:
Webpage : https://www.crmath.ca/en/activities/#...
Program:https://www.crmath.ca/wp-content/uplo...

This course is an introduction to acylindrically hyperbolic groups through the lens of the special class of hyperbolically embedded subgroups. We will begin with definitions and examples, and then we will investigate some nice geometric (and algebraic) properties enjoyed by these subgroups. We will explore connections with random walks, extending actions, extending quasicocycles, and relative hyperbolicity. Hyperbolically embedded subgroups, particularly those that are virtually cyclic, are a powerful tool for proving important results about acylindrically hyperbolic groups. I will introduce some of these results and sketch the ways in which hyperbolically embeddded subgroups are used in their proof. The course will assume no prior knowledge of any of these topics