Dikranjan, DikranMarconi, UmbertoMoresco, Roberto2017-06-052017-06-052003-10-011576-9402https://riunet.upv.es/handle/10251/82375[EN] Following [22] we study the class S of all groups that admit a small set of generators. Here we adopt also another notion of smallness (P-small) introduced by Prodanov in the case of abelian groups. We push further some results obtained in [22] (by adding some new members of S) and partially resolve an open question posed in [22]. We show that in most cases the groups in S admit a P-small set of generators.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)GroupLarge setPermutation groupLinear groupCompact groupProfinite groupGroups with a small set of generatorsArtÃculo2017-06-0510.4995/agt.2003.2037Abierto1989-4147