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.
No takes yet. Share an insight, caveat, or question.
Higman et al. (1949) studied this question.