Geodesic
The conjugacy problem in groups of non-orientable 3-manifolds
Jean-Philippe Préaux1
1Aix-Marseille Université, Marseille, France
Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 473-522

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DOI

We prove that fundamental groups of non-orientable 3-manifolds have a solvable conjugacy problem and construct an algorithm. Together with our earlier work on the conjugacy problem in groups of orientable geometrisable 3-manifolds, all 1 of (geometrisable) 3-manifolds have a solvable conjugacy problem. As corollaries, both the twisted conjugacy problem in closed surface groups and the conjugacy problem in closed surface-by-cyclic groups, are solvable.
DOI : 10.4171/ggd/354
Classification : 57-XX, 20-XX
Mots-clés : Conjugacy problem, fundamental group, non-orientable 3-manifolds, topological decomposition of 3-manifolds, graphs of groups

Jean-Philippe Préaux  1

1 Aix-Marseille Université, Marseille, France 
Jean-Philippe Préaux. The conjugacy problem in groups of non-orientable 3-manifolds. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 473-522. doi: 10.4171/ggd/354
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