On the profinite topology of right-angled Artin groups

Mathematics – Group Theory

Scientific paper

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The previous version had an incomplete proof that right-angled Artin groups are conjugacy separable. A much more general resul

Scientific paper

We give necessary and sufficient conditions on the graph of a right-angled
Artin group that determine whether the group is subgroup separable or not.
Moreover, we investigate the profinite topology of the direct product of two
free groups. We show that the profinite topology of the above group is strongly
connected with the profinite topology of the free group of rank two.

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