G. Gaeta An equivariant branching lemma for relative equilibria (290K, GZipped PS) ABSTRACT. The ``equivariant branching lemma'' of Cicogna and Vanderbauwhede, extended by Golubitsky and Stewart to Hopf bifurcation, is set in group-orbit space; this permits to consider, and obtain results on, the branching of relative equilibria via bifurcation in equivariant dynamical systems.