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==see also==*dirichlet's unit theorem, s-unit*kummer extension*minkowski's theorem, geometry of numbers*chebotarev's density theorem* ray class group* decomposition group* genus field==notes====references==* conrad, keith http://www.math.uconn.edu/~kconrad/blurbs/gradnumthy/unittheorem.pdf* helmut hasse, "number theory", springer "classics in mathematics" series (2002)* serge lang, "algebraic number theory", second edition, springer, 2000* richard a. mollin, "algebraic number theory", crc, 1999* ram murty, "problems in algebraic number theory", second edition, springer, 2005* andré weil, "basic number theory", third edition, springer, 1995
*dirichlet's unit theorem, s-unit*kummer extension*minkowski's theorem, geometry of numbers*chebotarev's density theorem* ray class group* decomposition group* genus field* serge lang, "algebraic number theory", second edition, springer, 2000* richard a. mollin, "algebraic number theory", crc, 1999* ram murty, "problems in algebraic number theory", second edition, springer, 2005* andré weil, "basic number theory", third edition, springer, 1995