Reconstructing global fields from dynamics in the abelianized Galois group
classification
🧮 math.NT
math.DS
keywords
dynamicalfieldglobalabelianizedanabelianarithmeticalartinconjugacy
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We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that are equivalent to field isomorphism, relating it to anabelian geometry.
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