Groups with a small set of generators


  • Dikran Dikranjan Università di Udine
  • Umberto Marconi Universita di Padova
  • Roberto Moresco Universita di Padova



Group, Large set, Small set, Permutation group, Linear group, Compact group, Profinite group


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.


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Author Biographies

Dikran Dikranjan, Università di Udine

Dipartimento di Matematica e Informatica

Umberto Marconi, Universita di Padova

Dipartimento di Matematica Pura e Applicata

Roberto Moresco, Universita di Padova

Dipartimento di Matematica Pura e Applicata


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How to Cite

D. Dikranjan, U. Marconi, and R. Moresco, “Groups with a small set of generators”, Appl. Gen. Topol., vol. 4, no. 2, pp. 327–350, Oct. 2003.



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