Right-angled Artin groups and finite subgraphs of curve graphs

2013/10/17 by Kim, Sang-hyun, Koberda, Thomas
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1310.4850

Abstract

We show that for a sufficiently simple surface S, a right-angled Artin group A(Γ) embeds into \Mod(S) if and only if Γ embeds into the curve graph \mC(S) as an induced subgraph. When S is sufficiently complicated, there exists an embedding A(Γ)→\Mod(S) for some Γ not contained in \mC(S).

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