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2004 Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups
John Crisp, Bert Wiest
Algebr. Geom. Topol. 4(1): 439-472 (2004). DOI: 10.2140/agt.2004.4.439

Abstract

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 1 surface group (given by the relation x2y2=z2) never embeds in a right-angled Artin group.

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John Crisp. Bert Wiest. "Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups." Algebr. Geom. Topol. 4 (1) 439 - 472, 2004. https://doi.org/10.2140/agt.2004.4.439

Information

Received: 10 April 2003; Accepted: 20 May 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1057.20028
MathSciNet: MR2077673
Digital Object Identifier: 10.2140/agt.2004.4.439

Subjects:
Primary: 05C25, 20F36
Secondary: 05C25

Rights: Copyright © 2004 Mathematical Sciences Publishers

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Vol.4 • No. 1 • 2004
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