Ordering pure braid groups on closed surfaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59446We prove that the pure braid groups on closed, orientable surfaces are bi-orderable, and that the pure braid groups on closed, non-orientable surfaces have generalized torsion, thus they are not bi-orderable.6 pages, 3 figuresGeometric TopologyGroup Theory20F36 (primary), 57N05 (secondary)Ordering pure braid groups on closed surfacestext