Line patterns in free groups.

DOI10.2140/gt.2011.15.1419zbMath1272.20046arXiv1006.2123OpenAlexW3098271069MaRDI QIDQ633903

Nataša Macura, Christopher H. Cashen

Publication date: 2 August 2011

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2123

zbMATH Keywords

rigidityfree groupsquasi-isometriesWhitehead algorithmline patternsWhitehead graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (12)

The structure of limit groups over hyperbolic groups ⋮ Essential surfaces in graph pairs ⋮ Virtual geometricity is rare ⋮ Quasi-isometries between groups with two-ended splittings ⋮ One-ended subgroups of graphs of free groups with cyclic edge groups. ⋮ Uniform negative immersions and the coherence of one-relator groups ⋮ Conformal dimension and canonical splittings of hyperbolic groups ⋮ Panel collapse and its applications ⋮ Revisiting Leighton’s theorem with the Haar measure ⋮ Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups ⋮ Immersed cycles and the JSJ decomposition ⋮ A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-isometries between tubular groups.
• The accessibility of finitely presented groups
• Cut points and canonical splittings of hyperbolic groups
• Symmetric patterns of geodesics and automorphisms of surface groups
• Diskbusting elements of the free group
• Combinatorial group theory.
• A geometric proof of Stallings' theorem on groups with more than one end.
• Virtually geometric words and Whitehead's algorithm.
• Quasi-isometry invariance of group splittings.
• Quasi-isometric classification of graph manifold groups.
• Covering theory for complexes of groups.
• On equivalent sets of elements in a free group
• Energy of harmonic functions and Gromov's proof of Stallings' theorem
• Certaines Relations D'Équivalence Sur L'Ensemble Des Bouts D'Un Groupe Libre
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• On Certain Sets of Elements in a Free Group

This page was built for publication: Line patterns in free groups.