2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171127Let T be a d-regular tree (d > 2) and A=Aut(T), its automorphism group. Let G be a group generated by n independent Haar-random elements of A. We show that almost surely, every nontrivial element of G has finitely many fixed points on T.16 pages, one figure, to appear in GGDGroup TheoryCombinatorics20E08; 05C05; 20P05text