A hyperbolicity criterion for subgroups of \(\mathcal{RF}(G)\).

DOI10.1007/S12188-010-0045-9zbMath1242.20034OpenAlexW1978571318MaRDI QIDQ609397

Thomas W. Müller

Publication date: 30 November 2010

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-010-0045-9

zbMATH Keywords

free productscentralizerslength functionslocal-global principlesgroups acting on \(\mathbb R\)-treeshyperbolic subgroupslocal incompatibility

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems involving maps of the interval (37E05) Groups acting on trees (20E08)

Cites Work

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• On a new construction in group theory.
• Divisibility properties of subgroup numbers for the modular group.
• Embedding theorems for tree-free groups
• Real Length Functions in Groups

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