Homotopy groups as centres of finitely presented groups

DOI10.1070/IM2013v077n03ABEH002650zbMath1285.20035arXiv1108.6167OpenAlexW1974992936MaRDI QIDQ5327399

Jie Wu, Roman Mikhailov

Publication date: 7 August 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.6167

zbMATH Keywords

finitely presented groupshomotopy theoryhomotopy groupssimplical groupssuspensions of classifying spaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) Simplicial sets and complexes in algebraic topology (55U10) Homotopy groups of special spaces (55Q52)

Uses Software

• Kenzo

Cites Work

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• Brunnian braids on surfaces.
• Symmetric ideals in group rings and simplicial homotopy.
• A combinatorial definition of homotopy groups
• On homotopy theory and c. s. s. groups
• A simplicial group construction for balanced products
• A colimit of classifying spaces
• On homotopy groups of the suspended classifying spaces
• Van Kampen theorems for diagrams of spaces
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Some relations between homotopy and homology
• The mod-\(p\) lower central series and the Adams spectral sequence
• Homotopical algebra
• Combinatorial descriptions of homotopy groups of certain spaces
• Brunnian subgroups of mapping class groups and braid groups
• ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE
• A BRAIDED SIMPLICIAL GROUP
• Configurations, braids, and homotopy groups
• Combinatorial description of the homotopy groups of wedge of spheres
• Artin braid groups and homotopy groups
• On symmetric commutator subgroups, braids, links and homotopy groups
• Homotopy groups of suspended classifying spaces: An experimental approach
• On simplicial resolutions of framed links
• Configuration Spaces.
• On the asphericity of regions in a 3-sphere

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