Groups with a small set of generators

• Dikranjan, Dikran ^[1] ; Marconi, Umberto ^[2] ; Moresco, Roberto ^[2]
  1. [1] Università di Udine
  2. [2] Universita di Padova
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 4, Nº. 2, 2003, págs. 327-350
• Idioma: inglés
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• Resumen

  • 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.