The Artin Symbol, Reciprocity Law, and Class Field Theory
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)
Let K/k be an abelian extension, and let p be a prime of k which is unramified in K. We had seen in Chapter I, §5 that there exists a unique element σ of the Galois group G, lying in the decomposition group G P (for any P|p, they all coincide in the abelian case) having the effect
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© Springer Science+Business Media New York 1994