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- Stallings_theorem_about_ends_of_groups abstract "In the mathematical subject of group theory, the Stallings theorem about ends of groups states that a finitely generated group G has more than one end if and only if the group G admits a nontrivial decomposition as an amalgamated free product or an HNN extension over a finite subgroup. In the modern language of Bass–Serre theory the theorem says that a finitely generated group G has more than one end if and only if G admits a nontrivial (that is, without a global fixed point) action on a simplicial tree with finite edge-stabilizers and without edge-inversions.The theorem was proved by John R. Stallings, first in the torsion-free case (1968) and then in the general case (1971).".
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- Stallings_theorem_about_ends_of_groups wikiPageLength "20724".
- Stallings_theorem_about_ends_of_groups wikiPageOutDegree "88".
- Stallings_theorem_about_ends_of_groups wikiPageRevisionID "680063250".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Bass-Serre_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Bass–Serre_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Brian_Bowditch.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink C._T._C._Wall.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink CAT(0)_space.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink CW_complex.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Category:Geometric_group_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Category:Theorems_in_group_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Cayley_graph.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Cell_complex.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Connected_component_(graph_theory).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Cyclic_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink End_(graph_theory).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink End_(topology).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Finitely_generated_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Finitely_presented_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Free_abelian_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Free_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Free_product.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Free_product_with_amalgamation.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Generating_set_of_a_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Geometric_group_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Graph_(mathematics).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Graph_of_groups.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Group_action.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Group_theory.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink HNN-extension.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink HNN_extension.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Hadamard_space.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Hyperbolic_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Index_of_a_subgroup.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Infinite_cyclic_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink John_R._Stallings.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Lebesgue_covering_dimension.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Martin_Dunwoody.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Mikhail_Gromov_(mathematician).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Minimal_surface.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Mladen_Bestvina.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Polycyclic_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Presentation_of_a_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Quasi-isometry.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Riemannian_geometry.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Subgroup.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Symmetric_difference.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Terry_Wall.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Topological_dimension.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Topological_space.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Torsion-free_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Torsion_(algebra).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Tree_(graph_theory).
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Virtually.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLink Word-hyperbolic_group.
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "Stalling's theorem".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "Stallings theorem about ends of groups".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "Stallings' theorem about ends of groups".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "accessible".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "one-ended".
- Stallings_theorem_about_ends_of_groups wikiPageWikiLinkText "splittings and accessibility of discrete groups".
- Stallings_theorem_about_ends_of_groups hasPhotoCollection Stallings_theorem_about_ends_of_groups.
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- Stallings_theorem_about_ends_of_groups wikiPageUsesTemplate Template:Reflist.
- Stallings_theorem_about_ends_of_groups subject Category:Geometric_group_theory.
- Stallings_theorem_about_ends_of_groups subject Category:Theorems_in_group_theory.
- Stallings_theorem_about_ends_of_groups type Theorem.
- Stallings_theorem_about_ends_of_groups comment "In the mathematical subject of group theory, the Stallings theorem about ends of groups states that a finitely generated group G has more than one end if and only if the group G admits a nontrivial decomposition as an amalgamated free product or an HNN extension over a finite subgroup.".
- Stallings_theorem_about_ends_of_groups label "Stallings theorem about ends of groups".
- Stallings_theorem_about_ends_of_groups sameAs m.04lfy6t.
- Stallings_theorem_about_ends_of_groups sameAs Q7597316.
- Stallings_theorem_about_ends_of_groups sameAs Q7597316.
- Stallings_theorem_about_ends_of_groups wasDerivedFrom Stallings_theorem_about_ends_of_groups?oldid=680063250.
- Stallings_theorem_about_ends_of_groups isPrimaryTopicOf Stallings_theorem_about_ends_of_groups.