Homomorphic images of Branch groups, and Serre's property (FA)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128291It is shown that a finitely generated branch group has Serre's property (FA) if and only if it does not surject onto the infinite cyclic group or the infinite dihedral group. An example of a finitely generated self-similar branch group surjecting onto the infinite cyclic group is constructed.20 pages, 2 figuresGroup Theory20E08; 20F65Homomorphic images of Branch groups, and Serre's property (FA)text