A characterization of infinite Abelian groups (Q1305321)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A characterization of infinite Abelian groups |
scientific article; zbMATH DE number 1346193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of infinite Abelian groups |
scientific article; zbMATH DE number 1346193 |
Statements
A characterization of infinite Abelian groups (English)
0 references
16 November 1999
0 references
The authors show that an infinite group is abelian if and only if for every two infinite sets of elements of the group the intersection of the one multiplied by the other and the other multiplied by the one is non-empty. Similar questions, the first asked by Paul Erdős, with similar solutions, have been considered in a series of papers, by many different authors, since 1976.
0 references
infinite groups
0 references
infinite sets of elements
0 references
