On uniqueness of JSJ decompositions of finitely generated groups.

DOI10.1007/s00014-003-0780-yzbMath1040.20032arXivmath/0110176OpenAlexW3102002969MaRDI QIDQ1422173

Max Forester

Publication date: 5 February 2004

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110176

zbMATH Keywords

splittingsfinitely presented groupsgraphs of groupsBaumslag-Solitar groups\(G\)-treesJSJ decompositionsaccessible groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items (20)

The isomorphism problem for finitely generated fully residually free groups. ⋮ Splittings of generalized Baumslag-Solitar groups. ⋮ On the automorphism group of generalized Baumslag-Solitar groups. ⋮ Quasi-isometries between groups with two-ended splittings ⋮ Bredon cohomological dimensions for groups acting on CAT(0)-spaces ⋮ Incommensurable lattices in Baumslag–Solitar complexes ⋮ The Schur multiplier of a generalized Baumslag-Solitar group. ⋮ A very short proof of Forester's rigidity result ⋮ A logspace solution to the word and conjugacy problem of generalized Baumslag-Solitar groups ⋮ Cyclic normal subgroups of generalized Baumslag–Solitar groups ⋮ Deformation and rigidity of simplicial group actions on trees. ⋮ Embedding of Baumslag-Solitar groups into the generalized Baumslag-Solitar groups. ⋮ Generalized Baumslag-Solitar Graphs with Soluble Fundamental Groups ⋮ COMPATIBILITY JSJ DECOMPOSITION OF GRAPHS OF FREE ABELIAN GROUPS ⋮ JSJ decompositions of quadratic Baumslag-Solitar groups. ⋮ Trees of cylinders and canonical splittings. ⋮ On the isomorphism problem for generalized Baumslag-Solitar groups. ⋮ Generalized Baumslag-Solitar groups: rank and finite index subgroups ⋮ The isomorphism problem for toral relatively hyperbolic groups. ⋮ Commensurability of Baumslag-Solitar groups

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