Jump to content

Ring class field

From Wikipedia, the free encyclopedia

In mathematics, a ring class field is the abelian extension of an algebraic number field K associated by class field theory to the ring class group of some order O of the ring of integers of K.[1]

Properties

[edit]

Let K be an algebraic number field.

Let L be the ring class field for the order Z[n] in the number field K = Q(n).

References

[edit]
  1. ^ Frey, Gerhard; Lange, Tanja (2006), "Varieties over special fields", Handbook of elliptic and hyperelliptic curve cryptography, Discrete Math. Appl. (Boca Raton), Chapman & Hall/CRC, Boca Raton, Florida, pp. 87–113, MR 2162721. See in particular p. 99.
[edit]