Presentations for groups acting on simply-connected complexes

DOI10.1016/0022-4049(84)90009-4zbMath0545.20022OpenAlexW2045455385MaRDI QIDQ797690

K. Stephen Brown

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90009-4

zbMATH Keywords

fundamental groupgraph of groupsisotropy groupfinite presentationaction on simply-connected complexsimply connected CW-complex

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Generators, relations, and presentations of groups (20F05) Other groups related to topology or analysis (20F38) Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Cites Work

• Generators and relations for certain special linear groups
• Groups of homeomorphisms of a simply connected space
• Discontinuous groups
• Über die endliche Defnierbarkeit von Gruppen.
• On the Algebraic Structure of Discontinuous Groups
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