THE FREQUENCY SPACE OF A FREE GROUP

DOI10.1142/S0218196705002700zbMath1110.20031arXivmath/0311053MaRDI QIDQ3379478

Ilya Kapovich

Publication date: 6 April 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311053

zbMATH Keywords

invariant measuresouter automorphismsautomorphisms of free groupshyperbolic boundariesgeodesic currentscyclic words

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05)

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Cites Work

• Moduli of graphs and automorphisms of free groups
• The geometry of Teichmüller space via geodesic currents
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Train tracks and automorphisms of free groups
• Laminations, trees, and irreducible automorphisms of free groups
• The topology at infinity of \(\text{Out} (F_n)\)
• Hyperbolic automorphisms of free groups