Non-amenable finitely presented torsion-by-cyclic groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64803We construct a finitely presented non-amenable group without free non-cyclic subgroups thus providing a finitely presented counterexample to von Neumann's problem. Our group is an extension of a group of finite exponent n >> 1 by a cyclic group, so it satisfies the identity [x,y]^n = 1.Group TheoryFunctional Analysis20F05; 20F50; 20F65Non-amenable finitely presented torsion-by-cyclic groupstext