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Geometriae Dedicata

, Volume 124, Issue 1, pp 191–198 | Cite as

Embedding right-angled Artin groups into graph braid groups

  • Lucas Sabalka
Original Paper

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.

Keywords

Right-angled Artin group Graph braid group Hyperbolic surface subgroup 

Mathematics Subject Classifications (2000)

Primary: 20F36 Secondary: 20F65 53R80 

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Copyright information

© Springer Science + Business Media B.V. 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaDavisUSA

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