Locally graded groups with certain minimal conditions for subgroups (II)

• Autores: Javier Otal, Juan Manuel Peña Ferrández
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 2, 1988, págs. 151-157
• Idioma: inglés
• Títulos paralelos:
  • Grupos localmente graduados con ciertas condiciones mínimas para subgrupos (II)
• Enlaces
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• Resumen

  • This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.