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arXiv:1202.4148 [math.GR]AbstractReferencesReviewsResources

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

Jean-Philippe Préaux

Published 2012-02-19, updated 2013-08-13Version 3

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.

Comments: 40 pages. 8 figures. Improved version of arXiv.math.GR/0512484 (2011). To appear
Categories: math.GR, math.AT, math.GT
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