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arXiv · 1202.4148

The conjugacy problem in groups of non-orientable 3-manifolds

Jean-Philippe Préaux
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Abstract

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 on orientable geometrizable 3-manifolds, all $\pi_1$ of (geometrizable) 3-manifolds have a solvable conjugacy problem. In corollaries, both the twisted conjugacy problem in closed surface groups and the conjugacy problem in closed surface-by-cyclic groups, are solvable.

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Jean-Philippe Préaux. 2012-02-19. The conjugacy problem in groups of non-orientable 3-manifolds. https://arxiv.org/abs/1202.4148

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