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Embeddings of graph braid
and surface groups in right-angled Artin groups and braid
groups
John Crisp and Bert Wiest |
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Algebraic & Geometric Topology 4 (2004) 439–472
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arXiv: math.GR/0303217 |
Abstract |
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We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results. We also show that every right-angled Artin group can be embedded in a pure surface braid group. On the other hand, by generalising to right-angled Artin groups a result of Lyndon for free groups, we show that the Euler characteristic surface group (given by the relation ) never embeds in a right-angled Artin group. |
Keywords
cubed complex, graph braid group, graph group, right-angled
Artin group, configuration space
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Mathematical Subject Classification 2000
Primary: 20F36, 05C25
Secondary: 05C25
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References |
Forward citations |
Publication
Received: 10 April 2003
Accepted: 20 May 2004
Published: 27 June 2004
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Authors |
| John Crisp | |
| Institut de Mathématiques de
Bourgogne (IMB) UMR 5584 du CNRS Université de Bourgogne 9 avenue Alain Savary B.P. 47870 21078 Dijon Cedex France |
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| Bert Wiest | |
| IRMAR UMR 6625 du CNRS Campus de Beaulieu Université de Rennes 1 35042 Rennes France |
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