A note on groups of infinite rank whose proper subgroups are abelian-by-finite
Francesco de Giovanni ; Federica Saccomanno
Colloquium Mathematicae, Tome 135 (2014), p. 165-170 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:284063 
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Francesco de Giovanni; Federica Saccomanno. A note on groups of infinite rank whose proper subgroups are abelian-by-finite. Colloquium Mathematicae, Tome 135 (2014) pp. 165-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-2/