On groups with all subgroups almost subnormal

• Autores: Eloisa Detomi
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 2, 2004, págs. 165-174
• Idioma: inglés
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• Resumen

  • In this paper we consider groups in which every subgroup has finite index in the n th term of its normal closure series, for a fixed integer n. We prove that such a group is the extension of a finite normal subgroup by a nilpotent group, whose class is bounded in terms of n only, provided it is either periodic or torsion-free.