Quasi-isometrically embedded subgroups of braid and diffeomorphism groups

DOI10.1090/S0002-9947-07-04332-2zbMath1186.20027arXivmath/0506375OpenAlexW1990720822MaRDI QIDQ3595027

Bert Wiest, John Crisp

Publication date: 9 August 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506375

zbMATH Keywords

hyperbolic groupspure braid groupsright-angled Artin groupsquasi-isometric embeddingsGromov hyperbolic groupsgroups of area-preserving diffeomorphisms

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (14)

On the complexity of finite subgraphs of the curve graph ⋮ QUASI-MORPHISMS AND L^p-METRICS ON GROUPS OF VOLUME-PRESERVING DIFFEOMORPHISMS ⋮ Right-angled Artin groups in the \(C^\infty\) diffeomorphism group of the real line ⋮ The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms ⋮ The \(L^p\)-diameter of the group of area-preserving diffeomorphisms of \(S^2\) ⋮ Quasi-isometric embeddings into diffeomorphism groups ⋮ Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups ⋮ RAAGs in Ham ⋮ Path lifting properties and embedding between RAAGs. ⋮ Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups ⋮ RAAGs in diffeos ⋮ Representations of surface groups and right-angled Artin groups in higher rank ⋮ The conjugacy problem in subgroups of right-angled Artin groups ⋮ Right-angled Artin groups as normal subgroups of mapping class groups

Cites Work

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• A combination theorem for negatively curved groups
• Hyperbolic Coxeter groups of large dimension.
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• On the complexity of braids.
• Hyperbolic groups with low-dimensional boundary
• Metric properties of the group of area preserving diffeomorphisms
• Kommutationsgleichungen in semifreien gruppen
• Characteristic classes of surface bundles

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