Factoring an infinite Abelian group by subsets. (Q5933691)
From MaRDI portal
scientific article; zbMATH DE number 1604366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factoring an infinite Abelian group by subsets. |
scientific article; zbMATH DE number 1604366 |
Statements
Factoring an infinite Abelian group by subsets. (English)
0 references
22 June 2005
0 references
The paper contains a Hajós-Rédei type theorem on factorization of some infinite Abelian groups. It is proved that if the group is the direct product of finitely many non-isomorphic Prüfer groups and is also representable as a direct product of finitely many subsets containing the identity and having prime number of elements, then at least one of these subsets is a subgroup.
0 references
factorizations of finite Abelian groups
0 references
factorizations of infinite Abelian groups
0 references
Hajós-Rédei theory
0 references
direct products of subsets
0 references
subgroups
0 references
Prüfer groups
0 references
