Profinite detection of 3-manifold decompositions
classification
🧮 math.GR
math.GT
keywords
profinitecompletiondecompositiondeterminesmanifoldcloseddecompositionsdetection
read the original abstract
The profinite completion of the fundamental group of a closed, orientable $3$-manifold determines the Kneser--Milnor decomposition. If $M$ is irreducible, then the profinite completion determines the Jaco--Shalen--Johannson decomposition of $M$.
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