Geodesic
Conjugacy $p$-separability of right-angled Artin groups and applications
Emmanuel Toinet1
1Université de Bourgogne, Dijon, France
Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 751-790

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DOI

We prove that every subnormal subgroup of p-power index in a right-angled Artin group is conjugacy p-separable. As an application, we prove that every right-angled Artin group is conjugacy separable in the class of torsion-free nilpotent groups. As another application, we prove that the outer automorphism group of a right-angled Artin group is virtually residually p-finite. We also prove that the Torelli group of a right-angled Artin group is residually torsion-free nilpotent, hence residually p-finite and bi-orderable.
DOI : 10.4171/ggd/205
Classification : 20-XX
Mots-clés : Right-angled Artin group, automorphism group, Torelli group, residual properties, separability properties, pro-p topology

Emmanuel Toinet  1

1 Université de Bourgogne, Dijon, France 
Emmanuel Toinet. Conjugacy $p$-separability of right-angled Artin groups and applications. Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 751-790. doi: 10.4171/ggd/205
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     number = {3},
     doi = {10.4171/ggd/205},
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