2-stratifold groups have solvable word problem

DOI10.1007/s13398-017-0484-6zbMath1430.57010arXiv1704.00686OpenAlexW2605048329MaRDI QIDQ1671981

Wolfgang Heil, José Carlos Gómez Larrañaga, Francisco González-Acuña

Publication date: 7 September 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00686

zbMATH Keywords

word problemgraph of groups2-stratifold

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (3)

2-stratifold spines of closed 3-manifolds ⋮ Models of simply-connected trivalent 2-dimensional stratifolds ⋮ Multibranched surfaces in 3-manifolds

Uses Software

• stratifolds

Cites Work

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• The constructive membership problem for discrete two-generator subgroups of \(\operatorname{SL}_2(\mathbb{R})\)
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• \(\text{sl}(3)\) link homology
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• 2-dimensional stratifolds homotopy equivalent to \(S^{2}\)
• 2-dimensional stratifolds
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
• The Word Problem and Related Results for Graph Product Groups
• Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds
• Reidemeister/Roseman-Type Moves to Embedded Foams in 4-Dimensional Space

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