An algorithmic approach to fundamental groups and covers of combinatorial cell complexes

DOI10.1006/jsco.1999.0292zbMath0942.57002OpenAlexW2038764015MaRDI QIDQ1971493

Sarah Rees, Leonard H. Soicher

Publication date: 17 August 2000

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/860ecda4ba2ed28c48844e809e6e8a8f49003d25

zbMATH Keywords

fundamental groupfinitely presented groupcell complex

Mathematics Subject Classification ID

Related Items (9)

The uniqueness of a distance-regular graph with intersection array \(\{32,27,8,1;1,4,27,32\}\) and related results ⋮ On split liftings with sectional complements ⋮ Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family ⋮ Characterization of the Patterson graph ⋮ Computing subgroup presentations, using the coherence arguments of McCammond and Wise. ⋮ Cohomology with local coefficients and knotted manifolds ⋮ Some computational aspects of solvable regular covers of graphs ⋮ Computing fundamental groups from point clouds ⋮ The conjugacy problem in groups of non-orientable 3-manifolds

Uses Software

• GAP
• GRAPE

Cites Work

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• The uniqueness of groups of type \(J_ 4\)
• Some polar towers
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• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Integer matrix diagonalization
• On Quillen's conjecture for the \(p\)-groups complex
• Locally connected simplicial maps

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