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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Groups with many normal-by-finite subgroups


Authors: Silvana Franciosi and Francesco de Giovanni
Journal: Proc. Amer. Math. Soc. 125 (1997), 323-327
MSC (1991): Primary 20F22
MathSciNet review: 1346971
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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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Additional Information

Silvana Franciosi
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
Affiliation: Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso Universitario Monte S. Angelo, Via Cintia, I 80126 Napoli, Italy
Email: degiova@matna2.dma.unina.it

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03539-9
PII: S 0002-9939(97)03539-9
Received by editor(s): May 11, 1995
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1997 American Mathematical Society