The isometry group of outer space

DOI10.1016/j.aim.2012.07.011zbMath1311.57004arXiv0912.0299OpenAlexW2015018141MaRDI QIDQ456788

Armando Martino, Stefano Francaviglia

Publication date: 16 October 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0299

zbMATH Keywords

free groupisometriesouter spaceLipschitz distancesstretching factors

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Free nonabelian groups (20E05)

Related Items (8)

Bounding the gap between a free group (outer) automorphism and its inverse ⋮ Isometries of infinite dimensional Hilbert geometries ⋮ The minimally displaced set of an irreducible automorphism of \(F_N\) is co-compact ⋮ The metric completion of outer space ⋮ Automorphisms of graphs of cyclic splittings of free groups. ⋮ On the stable Andreadakis problem ⋮ The minimally displaced set of an irreducible automorphism is locally finite ⋮ Displacements of automorphisms of free groups I: Displacement functions, minpoints and train tracks

Cites Work

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• The Patterson-Sullivan embedding and minimal volume entropy for outer space.
• Actions of higher-rank lattices on free groups
• THE FREQUENCY SPACE OF A FREE GROUP
• Parageometric outer automorphisms of free groups
• The expansion factors of an outer automorphism and its inverse
• Geodesic currents and length compactness for automorphisms of free groups
• Group Actions On R-Trees
• The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility
• A remark about actions of lattices on free groups

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