Graphical complexes of groups

DOI10.1515/jgth-2021-0118arXiv2004.08187OpenAlexW3017133198MaRDI QIDQ6122746

Tomasz Prytuła

Publication date: 1 March 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08187

zbMATH Keywords

Coxeter systemsTits alternativeright-angled Coxeter groupsmall cancellationDavis complexgraphical complex of groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• Simplicial nonpositive curvature
• Flats and the flat torus theorem in systolic spaces.
• Classifying spaces for families of subgroups for systolic groups
• Nonpositively curved 2-complexes with isolated flats.
• Cubulating small cancellation groups.
• Bestvina complex for group actions with a strict fundamental domain
• Subgroups of word hyperbolic groups in rational dimension 2
• Tits alternative for groups acting properly on 2-dimensional recurrent complexes
• Weakly Modular Graphs and Nonpositive Curvature
• Systolic groups acting on complexes with no flats are word-hyperbolic
• The Structure of Groups with a Quasiconvex Hierarchy

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