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About: Ray class field     Goto   Sponge   NotDistinct   Permalink

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In mathematics, a ray class field is an abelian extension of a global field associated with a ray class group of ideal classes or idele classes. Every finite abelian extension of a number field is contained in one of its ray class fields. There are two slightly different notions of what a ray class field is, as authors differ in how the infinite primes are treated.