A hyperbolic-by-hyperbolic hyperbolic group

DOI10.1090/S0002-9939-97-04249-4zbMath0895.20028MaRDI QIDQ4372450

Lee Mosher

Publication date: 11 December 1997

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

zbMATH Keywords

word hyperbolic groupsfinitely generated groupsfundamental groupshyperbolic groupsmapping class groupspseudo-Anosov homeomorphismspseudo-Anosov mapping classes

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28)

Related Items (13)

Hyperbolic extensions of free groups ⋮ A combination theorem for metric bundles ⋮ Hyperbolic graphs of surface groups. ⋮ Convex-compact subgroups of the Goeritz group ⋮ Relative hyperbolicity, trees of spaces and Cannon-Thurston maps ⋮ Height in splittings of hyperbolic groups. ⋮ A combination theorem for strong relative hyperbolicity. ⋮ PING-PONG AND OUTER SPACE ⋮ Hyperbolic extensions of free groups from atoroidal ping-pong ⋮ Convex cocompact subgroups of mapping class groups ⋮ Quasi-actions on trees II: Finite depth Bass-Serre trees ⋮ Regluing graphs of free groups ⋮ Relative hyperbolicity of free-by-cyclic extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A combination theorem for negatively curved groups
• Abelian and solvable subgroups of the mapping class group
• Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
• Laminations, trees, and irreducible automorphisms of free groups
• Cannon-Thurston maps for hyperbolic group extensions
• Hyperbolic extensions of groups
• Group invariant Peano curves
• A note on curvature and fundamental group
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups

This page was built for publication: A hyperbolic-by-hyperbolic hyperbolic group