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Embedding right-angled Artin groups into graph braid groups

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Abstract

We construct an embedding of any right-angled Artin group G(Δ) defined by a graph Δ into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of Δ. This construction yields an example of a hyperbolic surface subgroup embedded in a two strand planar graph braid group.

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  1. Department of Mathematics, University of California, Davis, CA, 95616, USA

    Lucas Sabalka

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  1. Lucas Sabalka
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Correspondence to Lucas Sabalka.

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Sabalka, L. Embedding right-angled Artin groups into graph braid groups. Geom Dedicata 124, 191–198 (2007). https://doi.org/10.1007/s10711-006-9101-0

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