Rewriting Systems and Geometric 3-Manifolds
classification
🧮 math.GR
keywords
rewritingsystemscompletefinitefundamentalgroupsmanifoldsamalgams
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The fundamental groups of most (conjecturally, all) closed 3-manifolds with uniform geometries have finite complete rewriting systems. The fundamental groups of a large class of amalgams of circle bundles also have finite complete rewriting systems. The general case remains open.
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