Resumen de Generating pairs and group actions

Darryl McCullough

• Anactionofafinitegrouponaclosed2-manifoldiscalledalmostfreeifithasasingleorbitofpointswithnontrivialstabilizers.Itiscalledlargewhentheorderofthegroupisgreaterthanorequaltothegenusofthesurface.Weprovethattheorientation-preservinglargealmostfreeactionsofGonclosedorientablesurfacescorrespondtotheNielsenequivalenceclassesofgeneratingpairsofG.Weclassifythealmostfreeactionsonthesurfacesofgenera3and4,findthelargealmostfreeactionsofthealternatinggroupA5,andgivevariousotherexamples.