Theorems of the type of Nunke for Abelian groups (Q2704770)
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: Theorems of the type of Nunke for Abelian groups |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theorems of the type of Nunke for Abelian groups |
scientific article |
Statements
12 March 2001
0 references
Abelian \(p\)-groups
0 references
torsion groups
0 references
0.9037795
0 references
0 references
0.8941659
0 references
0.88724095
0 references
0.88691705
0 references
0 references
Theorems of the type of Nunke for Abelian groups (English)
0 references
Theorems of Nunke type state that the group \(G\) belongs to a class of Abelian \(p\)-groups if and only if both \(G^{p^\alpha}\) and \(G/G^{p^\alpha}\) belong to the class for some fixed but arbitrary ordinal \(\alpha\). In the present note the author gives such kind of results for some classes of Abelian groups.
0 references
