COMPATIBILITY JSJ DECOMPOSITION OF GRAPHS OF FREE ABELIAN GROUPS

DOI10.1142/S021819671350046XzbMath1328.20047arXiv1212.3125OpenAlexW2088222949MaRDI QIDQ5411787

Benjamin Beeker

Publication date: 25 April 2014

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3125

zbMATH Keywords

graphs of groupsAbelian JSJ decompositionscompatibility JSJ splittings

Mathematics Subject Classification ID

Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08)

Related Items (1)

Graphical splittings of Artin kernels

Cites Work

• Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
• JSJ-splittings for finitely presented groups over slender groups
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• On uniqueness of JSJ decompositions of finitely generated groups.
• JSJ-decompositions of finitely presented groups and complexes of groups.
• Orbit decidability and the conjugacy problem for some extensions of groups
• Whitehead moves for G -trees

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