Artin reciprocity law
= Artin reciprocity law
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= Artin reciprocity
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= Artin reciprocity map
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= Artin map
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The Artin map sends an <ideal> prime to the ramified primes to the product of its Frobenius elements. For a suitable modulus, its kernel is the norm or congruence <subgroup> associated with the abelian extension.