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arxiv: 1405.6274 · v2 · pith:676HVPGNnew · submitted 2014-05-24 · 🧮 math.GT · math.GR

Decision problems for 3-manifolds and their fundamental groups

classification 🧮 math.GT math.GR
keywords problemgroupsdecisionmanifoldsproblemsfundamentalclassicalconjugacy
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We survey the status of some decision problems for 3-manifolds and their fundamental groups. This includes the classical decision problems for finitely presented groups (Word Problem, Conjugacy Problem, Isomorphism Problem), and also the Homeomorphism Problem for 3-manifolds and the Membership Problem for 3-manifold groups.

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