The R∞-property for right-angled Artin groups and their nilpotent quotients

Abstract

It is proven that every non-abelian right-angled Artin group has the R∞-property and bounds are given on the R∞-nilpotency index. In case the graph is transposition-free, which is true for almost all graphs, it is shown that the R∞-nilpotency index is equal to 2.

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