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arXiv:math/0608190 [math.GR]AbstractReferencesReviewsResources

On the profinite topology of right-angled Artin groups

V. Metaftsis, E. Raptis

Published 2006-08-08, updated 2009-05-11Version 4

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.

Comments: The previous version had an incomplete proof that right-angled Artin groups are conjugacy separable. A much more general result is proved by Minasyan in arXiv:0905.1282
Journal: J. Algebra 320 (2008), no. 3, 1174--1181
Categories: math.GR, math.GT
Subjects: 20E05, 20E26, 20E06
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