Conjugacy problem in groups of non-oriented geometrizable 3-manifolds

2005/12/21 by Jean-Philippe Préaux, Preaux, Jean-Philippe · 1 citation
Mathematics · #20F10 #57M05 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #Analytic and geometric function theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.math/0512484

openalex publication_date 2005/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have proved in [Topology, 45 1 (2006)] that fundamental groups of oriented geometrizable 3-manifolds have a solvable conjugacy problem. We now consider the case of groups of non-oriented geometrizable 3-manifolds in order to conclude that fundamental groups of geometrizable 3-manifolds all have a solvable conjugacy problem.

Citations

• The Geometries of 3-Manifolds

Cited by

• Decidability of equations and first-order theory in Seifert 3-manifold groups

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