Virtual pro-p properties of 3-manifold groups

2016/07/14 by Gareth Wilkes, Wilkes, Gareth
Mathematics · #20E26 (Primary) #57M05 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1607.04088

openalex publication_date 2016/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We answer a question of Aschenbrenner and Friedl regarding virtual p-efficiency for 3-manifold groups. We then study conjugacy p-separability and prove results for Fuchsian groups, Seifert fibre spaces and graph manifolds.

Citations

• Some 3-manifold groups with the same finite quotients
• The Geometries of 3-Manifolds
• Determining Fuchsian groups by their finite quotients

Related

• A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable
• 3-manifold groups
• The virtual Haken conjecture
• Profinite properties of graph manifolds
• Virtual retractions, conjugacy separability and omnipotence