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An exotic presentation
of $Q_{28}$
Wajid H Mannan and Tomasz Popiel |
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Algebraic & Geometric Topology 21 (2021) 2065–2084
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Abstract |
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We introduce a new family of presentations for the quaternion groups and show that for the quaternion group of order 28, one of these presentations has nonstandard second homotopy group. |
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Keywords
group presentation, homotopy group, Wall's D(2) problem
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Mathematical Subject Classification
Primary: 57K20, 57M05
Secondary: 16S34, 20C05, 20C10, 55N25, 55P15, 55Q91
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References |
Publication
Received: 1 April 2020
Revised: 22 June 2020
Accepted: 18 September 2020
Published: 18 August 2021
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Authors |
| Wajid H Mannan | |
| School of Mathematical
Sciences Queen Mary University of London London United Kingdom |
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| https://www.qmul.ac.uk/maths/profiles/mannanw.html | |
| Tomasz Popiel | |
| Department of Mathematics The University of Auckland Auckland New Zealand |
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