Abstract
For n 4, we describe Artin's braid group on n strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations.
Editor-in-Chief: Wilson, John S.
Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.
null Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Broue, Michel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kantor, William M. / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Robinson, Derek J.S. / Willis, George
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Braids and crossed modules
1USTL, UFR de Mathmatiques, CNRS-UMR 8524, 59655 Villeneuve d'Ascq Cedex, France
Citation Information: Journal of Group Theory. Volume 15, Issue 1, Pages 57–83, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2011.095, January 2012
Publication History:
Received: 15/06/2010;
Revised: 26/01/2011;
Published Online: 28/02/2012
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