Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Stallings'_ends_theorem
|
| gptkbp:appliesTo |
finitely generated groups
|
| gptkbp:field |
gptkb:topology
geometric group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Stallings theorem
|
| gptkbp:influenced |
gptkb:Bass–Serre_theory
group splittings |
| gptkbp:namedAfter |
gptkb:John_R._Stallings
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
ends of groups
|
| gptkbp:sentence |
A finitely generated group has more than one end if and only if it splits as a nontrivial free product with amalgamation or as an HNN extension over a finite group.
|
| gptkbp:yearProposed |
1971
|
| gptkbp:bfsParent |
gptkb:John_Stallings
|
| gptkbp:bfsLayer |
5
|