Embeddings of right-angled Artin groups

Abstract

We explicitly construct an embedding of a right-angled Artin group into a classical pure braid group. Using this we obtain a number of corollaries describing embeddings of arbitrary Artin groups into right-angled Artin groups and linearly independent subgroups of a right-angled Artin group.

This paper has been withdrawn by the author due to the map described in Thorem 2.4 is not injective

References in corpus (3)

• Presentations of Graph Braid Groups
• Abrams's stable equivalence for graph braid groups
• Computing braid groups of graphs with applications to robot motion planning

Cited by in corpus (1)

• Two-generator subgroups of right-angled Artin groups are quasi-isometrically embedded