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

O’Shea, Seamus

doi:10.2140/agt.2012.12.2287

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The $D(2)$–problem for dihedral groups of order $4n$

Seamus O’Shea

Algebraic & Geometric Topology 12 (2012) 2287–2297

DOI: 10.2140/agt.2012.12.2287

Abstract

We give a full solution in terms of $k$ –invariants of the $D (2)$ –problem for $D_{4 n}$ , assuming that $Z [D_{4n}]$ satisfies torsion-free cancellation.

Keywords

$D(2)$–problem, algebraic 2–complex, $k$–invariant

Mathematical Subject Classification 2010

Primary: 57M05

Secondary: 55P15

References

Publication

Received: 29 March 2012

Revised: 17 August 2012

Accepted: 17 August 2012

Published: 5 January 2013

Authors

Seamus O’Shea
Department of Mathematics University College London Gower Street London WC1E 6BT United Kingdom

Volume 12, issue 4 (2012)