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Mathematics  2005 

Embedding right-angled Artin groups into graph braid groups

DOI: 10.1007/s10711-006-9101-0

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Abstract:

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

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