Locally compact hyperbolic groups

27 May 2014
Dennis Dreesen
The common convention when dealing with hyperbolic groups is that such groups are finitely generated and equipped with the word length metric relative to a fi nite symmetric generating subset. Gromov's original work on hyperbolicity already contained ideas that extend beyond the fi nitely generated setting. We study the class of locally compact hyperbolic groups and elaborate on the similarities and diff erences between the discrete and non-discrete setting.