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

Abstract : 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 group is residually torsion-free nilpotent, hence residually p-finite and bi-orderable.
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https://hal.archives-ouvertes.fr/hal-00519434
Contributor : Emmanuel Toinet <>
Submitted on : Friday, March 1, 2013 - 6:52:41 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Thursday, May 30, 2013 - 7:35:07 AM

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  • HAL Id : hal-00519434, version 4
  • ARXIV : 1009.3859

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Emmanuel Toinet. Conjugacy p-separability of right-angled Artin groups and applications. 2013. ⟨hal-00519434v4⟩

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