类域[Class Field] - 达人(其实～我是卧底，来自外星)

2005/10/10 | 类域[Class Field]
类别(∑〖数学〗) | 评论(0) | 阅读(27) | 发表于 20:21: 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 .; 0