Local Reciprocity
Hasse introduced a local analogue of the Artin reciprocity law, called the local reciprocity law. One form of it states that for a finite abelian extension of L/K of local fields, the Artin map is an isomorphism from onto the Galois group .
Read more about this topic: Reciprocity Law
Famous quotes containing the words local and/or reciprocity:
“Savages cling to a local god of one tribe or town. The broad ethics of Jesus were quickly narrowed to village theologies, which preach an election or favoritism.”
—Ralph Waldo Emerson (1803–1882)
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—Simone De Beauvoir (1908–1986)