A geometric proof of Stallings' theorem on groups with more than one end.

DOI10.1023/B:GEOM.0000024780.73453.e4zbMath1053.20039OpenAlexW2076088846MaRDI QIDQ1827416

Graham A. Niblo

Publication date: 6 August 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000024780.73453.e4

zbMATH Keywords

finitely generated groupsHNN extensionsendsamalgamated free productssingularity obstructionsBass-Serre theoryCAT(0) cube complexesStallings theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (11)

On the topology of infinite regular and chiral maps ⋮ A Stallings type theorem for quasi-transitive graphs ⋮ Differential calculi in group algebras and group ends ⋮ Derivations in group algebras and combinatorial invariants of groups ⋮ Splittings of non-finitely generated groups. ⋮ Line patterns in free groups. ⋮ A CACTUS THEOREM FOR END CUTS ⋮ Combinatorial description of derivations in group algebras ⋮ FROM WALL SPACES TO CAT(0) CUBE COMPLEXES ⋮ Coxeter Groups act on CAT(0) cube complexes ⋮ Quasi-actions on trees II: Finite depth Bass-Serre trees

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