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类域[Class Field] [2005-10-10]
iamet 发表在 ∑〖数学〗
| Given a set  of primes, a field  is called a class field if it is a maximal normal extension of the rationals which splits all of the primes in  , and if is the maximal set of primes split by K. Here the set is defined up to the equivalence relation of allowing a finite number of exceptions.
The basic example is the set of primes congruent to 1 (mod 4),
The class field for  is  because every such prime is expressible as the sum of two squares  . |
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