Embedding right-angled Artin groups into graph braid groups

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.

8 pages. Final version, appears in Geometriae Dedicata.

References in corpus (2)

• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups
• Discrete Morse theory and graph braid groups

Cited by in corpus (3)

• Presentations of Graph Braid Groups
• Quasi-isometry invariants of weakly special square complexes
• Graph of groups decompositions of graph braid groups