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Minimal algebraic
complexes over $D_{4n}$
Wajid H Mannan and Seamus O’Shea |
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Algebraic & Geometric Topology 13 (2013) 3287–3304
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Abstract |
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We show that cancellation of free modules holds in the stable class over dihedral groups of order . In light of a recent result on realizing –invariants for these groups, this completes the proof that all dihedral groups satisfy the D(2) property. |
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Keywords
non-simply connected homotopy, cancellation of modules,
Wall's D(2) problem, algebraic homotopy
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Mathematical Subject Classification 2010
Primary: 57M20
Secondary: 16E05, 16E10, 55P15, 55Q20
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References |
Publication
Received: 26 May 2013
Revised: 6 June 2013
Accepted: 11 June 2013
Published: 10 October 2013
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Authors |
| Wajid H Mannan | |
| Mathematics and Statistics Lancaster University Lancaster LA1 4YF UK |
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| http://www.lancs.ac.uk/fas/maths/people/wajid-mannan | |
| Seamus O’Shea | |
| Department of Mathematics University College London Gower Street London WC1E 6BT UK |
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