| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583982 | Journal of Algebra | 2016 | 19 Pages |
Abstract
We describe soluble groups in which the set of all subgroups is countable and show that locally (soluble-by-finite) groups with this property are soluble-by-finite. Further, we construct a nilpotent group with uncountably many subgroups in which the set of all abelian subgroups is countable.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Giovanni Cutolo, Howard Smith,