Geodesic
A note on groups of infinite rank whose proper subgroups are abelian-by-finite
Francesco de Giovanni1 ; Federica Saccomanno1
1 Dipartimento di Matematica e Applicazioni Università degli Studi di Napoli “Federico II” 80126 Napoli, Italy
Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 165-170.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that if $G$ is a locally (soluble-by-finite) group of infinite rank in which every proper subgroup of infinite rank contains an abelian subgroup of finite index, then all proper subgroups of $G$ are abelian-by-finite.
DOI : 10.4064/cm137-2-2
Keywords: proved locally soluble by finite group infinite rank which every proper subgroup infinite rank contains abelian subgroup finite index proper subgroups abelian by finite

Francesco de Giovanni 1 ; Federica Saccomanno 1

1 Dipartimento di Matematica e Applicazioni Università degli Studi di Napoli “Federico II” 80126 Napoli, Italy 
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Francesco de Giovanni; Federica Saccomanno. A note on groups of infinite rank
 whose proper subgroups are abelian-by-finite. Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 165-170. doi : 10.4064/cm137-2-2. http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-2/

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