Lifting group actions, equivariant towers and subgroups of non-positively curved groups.

DOI10.2140/agt.2014.14.2783zbMath1335.20045arXiv1307.2640OpenAlexW3102747033MaRDI QIDQ470701

Richard Gaelan Hanlon, Eduardo Martínez Pedroza

Publication date: 13 November 2014

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

Full work available at URL: https://arxiv.org/abs/1307.2640

zbMATH Keywords

hyperbolic groupssystolic groupsrelatively hyperbolic groupsvan Kampen diagramsCAT(0) complexesdiagrammatically reducible groupsequivariant coversequivariant towersfinitely presented subgroupsnon-positively curved groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

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Cites Work

• Coherence and negative sectional curvature in complexes of groups
• Relative quasiconvexity using fine hyperbolic graphs.
• On Dehn's lemma and the asphericity of knots
• Simplicial nonpositive curvature
• Aspherical group presentations
• Sectional curvature, compact cores, and local quasiconvexity
• Towers, ladders and the B. B. Newman Spelling Theorem
• RELATIVELY HYPERBOLIC GROUPS
• Finitely presented subgroups of systolic groups are systolic
• A COLORING TEST FOR ASPHERICITY
• Branched Coverings of Cubical Complexes and Subgroups of Hyperbolic Groups
• On pairs of 2-complexes and systems of equations over groups.
• ℋ complexes, towers and subgroups of F×F
• Subgroups of Word Hyperbolic Groups in Dimension 2
• On finite groups acting on contractible complexes of dimension two
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