Abstract
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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© 1994 Springer Science+Business Media New York
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Lang, S. (1994). The Artin Symbol, Reciprocity Law, and Class Field Theory. In: Algebraic Number Theory. Graduate Texts in Mathematics, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0853-2_10
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DOI: https://doi.org/10.1007/978-1-4612-0853-2_10
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