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ray class group (Definition)

Let $ {\mathfrak{m}}$ be a modulus for a number field $ K$. The ray class group of $ K$ mod $ {\mathfrak{m}}$ is the group $ \mathbb{I}^{\mathfrak{m}}/K_{{\mathfrak{m}},1}$, where



"ray class group" is owned by djao.
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an exact sequence for ray class groups (Result) by alozano
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Cross-references: multiplicatively congruent, ring of integers, principal ideals, occur in, prime ideals, generated by, ideal group, subgroup, group, number field, modulus
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This is version 1 of ray class group, born on 2002-07-11.
Object id is 3164, canonical name is RayClassGroup.
Accessed 2364 times total.

Classification:
AMS MSC11R29 (Number theory :: Algebraic number theory: global fields :: Class numbers, class groups, discriminants)

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