2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79092Finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal invariant with integer coefficients based on the Magnus expansion of a free group and a calculation of numbers of independent invariants of each type for all pure braid groups.14 pages, many figuresGeometric TopologyFree groups and finite type invariants of pure braidstext