2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152249We prove a criterion for stability of relative equilibria in symmetric Hamiltonian systems at singular points of the momentum map. This generalizes a theorem of G.W. Patrick. The method of the proof is also useful in studying the bifurcation of relative equilibria.10 pages, LaTeX2eDifferential Geometry58F; 70Htext