A note on groups of infinite rank whose proper subgroups are abelian-by-finite

• Autorzy: Francesco de Giovanni , Federica Saccomanno
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20F22: Other classes of groups defined by subgroup chains

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 2
• Strony: 165-170

Daty

wydano

2014

Twórcy

autor

Francesco de Giovanni

• Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli "Federico II", 80126 Napoli, Italy

autor

Federica Saccomanno

• Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli "Federico II", 80126 Napoli, Italy

Identyfikatory

DOI

10.4064/cm137-2-2