2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123989Let S be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph S, which we call canonical parabolic subgroups. A natural extension of the definition leads to canonical quasiparabolic subgroups. It is shown that the centralisers of subsets of G are the conjugates of canonical quasiparabolic centralisers satisfying certain graph theoretic conditions.18 pages, 1 figureGroup Theory20F36 (Primary) 20E15 (Secondary)Parabolic and Quasiparabolic Subgroups of Free Partially Commutative Groupstext