Abelian number field

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An Abelian extension of the field of rational numbers , i.e. a Galois extension of such that the Galois group is Abelian. See Class field theory; Extension of a field; Galois group.

How to Cite This Entry:
Abelian number field. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article