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:
“Wags try to invent new stories to tell about the legislature, and end by telling the old one about the senator who explained his unaccustomed possession of a large roll of bills by saying that someone pushed it over the transom while he slept. The expression “It came over the transom,” to explain any unusual good fortune, is part of local folklore.”
—For the State of Montana, U.S. public relief program (1935-1943)
“Between women love is contemplative; caresses are intended less to gain possession of the other than gradually to re-create the self through her; separateness is abolished, there is no struggle, no victory, no defeat; in exact reciprocity each is at once subject and object, sovereign and slave; duality become mutuality.”
—Simone De Beauvoir (1908–1986)