Pure \(B(n)\)-subgroups of completely decomposable groups. (Q691658)
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: Pure \(B(n)\)-subgroups of completely decomposable groups. |
scientific article; zbMATH DE number 6112140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pure \(B(n)\)-subgroups of completely decomposable groups. |
scientific article; zbMATH DE number 6112140 |
Statements
Pure \(B(n)\)-subgroups of completely decomposable groups. (English)
0 references
3 December 2012
0 references
The \(B(n)\)-groups are defined as quotients of finite rank completely decomposable groups modulo pure subgroups of rank \(n\). We know from Butler's Theorem that every \(B(n)\)-group can be embedded as a pure subgroup of a completely decomposable groups. In the main result of this paper (Theorem 1), the authors characterize by invariants the purity of a \(B(2)\)-group as a subgroup of a completely decomposable group.
0 references
torsion-free Abelian groups
0 references
finite rank completely decomposable groups
0 references
Butler groups
0 references
\(B(n)\)-groups
0 references
types
0 references
tents
0 references
pure subgroups
0 references
