2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132983For a symplectic manifold $(M,\om)$ with exact symplectic form we construct a 2-cocycle on the group of symplectomorphisms and indicate cases when this cocycle is not trivial.9 pages, Latex, shortened version, new coauthor, title changedGroup TheorySymplectic Geometry58D05, 20J06, 22E65A 2-cocycle on a group of symplectomorphismstext