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Groups with many normal-by-finite subgroups
Authors:Silvana Franciosi   Francesco de Giovanni
Affiliation:Dipartimento di Matematica e Applicazioni, Università di Napoli ``Federico II', Complesso Universitario Monte S. Angelo, Via Cintia, I 80126 Napoli, Italy

Francesco de Giovanni ; Dipartimento di Matematica e Applicazioni, Università di Napoli ``Federico II', Complesso Universitario Monte S. Angelo, Via Cintia, I 80126 Napoli, Italy

Abstract:A subgroup $H$ of a group $G$ is said to be normal-by-finite if the core $H_G$ of $H$ in $G$ has finite index in $H$. In this article groups satisfying the minimal condition on subgroups which are not normal-by-finite and groups with finitely many conjugacy classes of subgroups which are not normal-by-finite are characterized.

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