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The \(D(2)\)-problem for dihedral groups of order \(4n\)

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Publication:1929147
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DOI10.2140/agt.2012.12.2287zbMath1262.57002OpenAlexW2043300088MaRDI QIDQ1929147

Seamus O'Shea

Publication date: 7 January 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2012.12.2287


zbMATH Keywords

\(k\)-invariant\(D(2)\)-problemalgebraic 2-complex


Mathematics Subject Classification ID

Classification of homotopy type (55P15) Fundamental group, presentations, free differential calculus (57M05)


Related Items (4)

Minimal algebraic complexes over \(D_{4n}\) ⋮ Homology roses and the D(2)-problem ⋮ An exotic presentation of \(Q_{28}\) ⋮ Two remarks on Wall's D2 problem



Cites Work

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  • Partial homotopy type of finite two-complexes
  • Torsion free cancellation over orders
  • On the class groups of dihedral groups
  • When homology equivalence implies homotopy equivalence for 2-complexes
  • Homotopy classes of truncated projective resolutions
  • The \(D(2)\) property for \(D_{8}\)
  • Finiteness conditions for CW-complexes. I, II.
  • Realizing algebraic 2-complexes by cell complexes


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