Profinite detection of 3-manifold decompositions

Published 10 Mar 2017 in math.GR and math.GT | (1703.03701v3)

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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