Stallings' ends theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finitely generated groups
gptkbp:concerns ends of groups
gptkbp:field gptkb:topology
geometric group theory
https://www.w3.org/2000/01/rdf-schema#label Stallings' ends theorem
gptkbp:influenced JSJ decomposition
gptkbp:namedAfter gptkb:John_R._Stallings
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Serre's_theorem
gptkb:Bass–Serre_theory
gptkbp:state A finitely generated group has more than one end if and only if it splits as a nontrivial amalgamated free product or HNN extension over a finite group.
gptkbp:yearProved 1971
gptkbp:bfsParent gptkb:Stallings_theorem
gptkbp:bfsLayer 6