Accidental parabolics and relatively hyperbolic groups.

DOI10.1007/BF02771780zbMath1174.20014arXivmath/0210421MaRDI QIDQ2480554

François Dahmani

Publication date: 1 April 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210421

zbMATH Keywords

HNN extensionsfinitely presented groupsgraphs of groupsamalgamated free productsrelatively hyperbolic groupsmorphisms without accidental parabolics

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (12)

Limit groups for relatively hyperbolic groups. I: The basic tools. ⋮ Copies of one-ended groups in mapping class groups ⋮ Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps. ⋮ Atoroidal surface bundles over surfaces. ⋮ Existential questions in (relatively) hyperbolic groups. ⋮ Proper actions on \(\ell^p\)-spaces for relatively hyperbolic groups ⋮ ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS ⋮ One-ended subgroups of mapping class groups ⋮ Symbolic dynamics and relatively hyperbolic groups. ⋮ Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups. ⋮ SLP compression for solutions of equations with constraints in free and hyperbolic groups ⋮ Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.

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