Commensurability of Droms right-angled Artin groups

Abstract: Classifying groups up to quasi-isometry is one of the directions in geometric group theory. A related but distinct problem is that of classifying groups up to commensurability. These are large undertakings; we typically seek to obtain classifications within particular families of groups. Right-angled Artin groups (RAAGs) are a family of groups in bijection with finite simple graphs, in which a vertex corresponds to a generator and an edge corresponds to a commuting relation between a pair of generators. Droms RAAGs are those RAAGs for which every finitely generated subgroup is also a RAAG. In this talk, we classify the commensurability classes of Droms RAAGs.

 

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Meeting ID: 871 4119 5428

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