The first ${\ell }^2$-Betti number and groups acting on trees

Abstract

We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first ${\ell }^2$-Betti number of quotients of certain groups acting on trees by subgroups with free actions on the edge sets of the graphs.

6 pages

References in corpus (1)

• On acylindrical hyperbolicity of groups with positive first ${\ell }^2$-Betti number