Cannon-Thurston maps for CAT(0) groups with isolated flats

DOI10.1007/s00208-021-02245-zOpenAlexW3214161324MaRDI QIDQ2170985

Giles Gardam, Radhika Gupta, Matthew Cordes, Emily Stark, Beeker Benjamin

Publication date: 8 September 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13285

zbMATH Keywords

hyperbolic groups, CAT(0) groups, Cannon-Thurston maps

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Regularity of Morse geodesics and growth of stable subgroups

Cites Work

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• Projections and relative hyperbolicity.
• Cannon-Thurston maps for hyperbolic free group extensions
• Trees of cylinders and canonical splittings.
• The recognition theorem for \(\text{Out}(F_n)\).
• Nonexistence of boundary maps for some hierarchically hyperbolic spaces
• Relatively hyperbolic extensions of groups and Cannon-Thurston maps.
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Abelian subgroups of \(\text{Out}(F_n)\).
• The accessibility of finitely presented groups
• Cut points and canonical splittings of hyperbolic groups
• Structure and rigidity in hyperbolic groups. I
• Laminations, trees, and irreducible automorphisms of free groups
• Ending laminations for hyperbolic group extensions
• Cannon-Thurston maps for hyperbolic group extensions
• Morse boundaries of proper geodesic metric spaces
• Geometric invariants of spaces with isolated flats.
• Stable actions of groups on real trees
• Hyperbolic extensions of groups
• A combination theorem for metric bundles
• Spaces with nonpositive curvature and their ideal boundaries
• Connectedness properties and splittings of groups with isolated flats
• The visual boundary of hyperbolic free-by-cyclic groups
• Splittings and automorphisms of relatively hyperbolic groups
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Cannon-Thurston maps for surface groups
• Group invariant Peano curves
• The Cannon-Thurston map for punctured-surface groups
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• On torsion-free groups with infinitely many ends
• On the regularity of homeomorphisms of \(E^n\)
• CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
• RELATIVELY HYPERBOLIC GROUPS
• JSJ decompositions of groups
• On Cannon–Thurston maps for relatively hyperbolic groups
• Rank-one isometries of proper CAT(0)-spaces
• Boundary classification and two-ended splittings of groups with isolated flats
• North–South dynamics of hyperbolic free group automorphisms on the space of currents
• Cannon-Thurston fibers for iwip automorphisms of FN
• Contracting boundaries of CAT(0) spaces
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Subgroups of HNN Groups and Groups with one Defining Relation
• RELATIONS BETWEEN VARIOUS BOUNDARIES OF RELATIVELY HYPERBOLIC GROUPS
• Relatively hyperbolic groups
• A survey on Morse boundaries and stability

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