On profinite groups with positive rank gradient

• Nikolay Nikolov ^[1]
  1. [1] University of Oxford

     University of Oxford

     Oxford District, Reino Unido

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 4, 2023, págs. 1323-1347
• Idioma: inglés
• DOI: 10.4171/RMI/1333
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• Resumen

  • We prove that a profinite group G with positive rank gradient does not satisfy a group law. In the case when G is a pro-p group, we show that G contains a nonabelian dense free subgroup.