# Abelian number field

From Encyclopedia of Mathematics

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: http://encyclopediaofmath.org/index.php?title=Abelian_number_field&oldid=18788

This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article