Two branched covers of the three-sphere over a stably Chebotarev link are homeomorphic if and only if their absolute Galois groups are isomorphic via a characteristic-preserving isomorphism.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Non-conjugate subgroups of a finite group have non-isomorphic preimages in some finite extension, so Z-coset equivalent subgroups need not be isomorphic.
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A Neukirch-Uchida Theorem for 3-Manifolds
Two branched covers of the three-sphere over a stably Chebotarev link are homeomorphic if and only if their absolute Galois groups are isomorphic via a characteristic-preserving isomorphism.
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Subgroups with all finite lifts isomorphic are conjugate
Non-conjugate subgroups of a finite group have non-isomorphic preimages in some finite extension, so Z-coset equivalent subgroups need not be isomorphic.