JournalsggdVol. 7, No. 3pp. 751–790

Conjugacy pp-separability of right-angled Artin groups and applications

  • Emmanuel Toinet

    Université de Bourgogne, Dijon, France
Conjugacy $p$-separability of right-angled Artin groups and applications cover
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Abstract

We prove that every subnormal subgroup of pp-power index in a right-angled Artin group is conjugacy pp-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 pp-finite. We also prove that the Torelli group of a right-angled Artin group is residually torsion-free nilpotent, hence residually pp-finite and bi-orderable.

Cite this article

Emmanuel Toinet, Conjugacy pp-separability of right-angled Artin groups and applications. Groups Geom. Dyn. 7 (2013), no. 3, pp. 751–790

DOI 10.4171/GGD/205