On CAT(0) structures for free-by-cyclic groups.

DOI10.1016/j.topol.2005.12.002zbMath1140.20034OpenAlexW2023462412MaRDI QIDQ2502937

Peter Samuelson

Publication date: 13 September 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.12.002

zbMATH Keywords

geometric actionsfree-by-cyclic groupsCAT(0) metric spaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

On the \(K\)-theory of certain extensions of free groups ⋮ Some new CAT(0) free-by-cyclic groups

Cites Work

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• Quadratic divergence of geodesics in CAT(0) spaces
• Complexes of nonpositive curvature for extensions of \(F_ 2\) by \(\mathbb{Z}\)
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• The quadratic isoperimetric inequality for mapping tori of free group automorphisms
• The Automorphism Group of a Free Group Is Not a Cat(0) Group

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