On groups of finite rank

• Wehrfritz, B. A. F ^[1]
  1. [1] Queen Mary University of London

     Queen Mary University of London

     Reino Unido

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 65, Nº 2, 2021, págs. 599-613
• Idioma: inglés
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• Resumen

  • We study the structure of groups of finite (Pr¨ufer) rank in a very wide class of groups and also of central extensions of such groups. As a result we are able to improve, often substantially, on a number of known numerical bounds, in particularon bounds for the rank (resp. Hirsch number) of the derived subgroup of a group in terms of the rank (resp. Hirsch number) of its central quotient and on bounds for the rank of a group in terms of its Hirsch number