Embedding right-angled Artin groups into graph braid groups

Details Embedding right-angled Artin groups into graph braid groups Embedding right-angled Artin groups into graph braid groups

2005-06-13

arxiv.org/abs/math/0506253v3

Geometriae Dedicata, 124 (2007) 191-198

Mathematics

Group Theory

8 pages. Final version, appears in Geometriae Dedicata.

Scientific paper

10.1007/s10711-006-9101-0

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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