Centre-by-metabelian groups with a condition on infinite subsets

• Autores: Nadir Trabelsi
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 47, Nº 2, 2003, págs. 451-458
• Idioma: inglés
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• Resumen

  • In this note, we consider some combinatorial conditions on infinite subsets of groups and we obtain in terms of these conditions some characterizations of the classes L(Nk)F and FL(Nk) for the finitely generated centre-by-metabelian groups, where L(Nk) (respectively, F) denotes the class of groups in which the normal closure of each element is nilpotent of class at most k (respectively, finite groups).