Embeddability of right-angled Artin groups on the complements of linear forests

2017/10/08 by Katayama, Takuya
#20F36 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1710.02797

Abstract

In this article, we prove that embeddings of right-angled Artin group A₁ on the complement of a linear forest into another right-angled Artin group A₂ can be reduced to full embeddings of the defining graph of A₁ into the extension graph of the defining graph of A₂.

Related

• Right-angled Artin groups and full subgraphs of graphs
• Embeddings of right-angled Artin groups
• Embedding problem between right-angled Artin groups
• The Right Angled Artin Group Functor as a Categorical Embedding
• Right-angled Artin groups and finite subgraphs of curve graphs