Abelian number field
From Encyclopedia of Mathematics
An Abelian extension of the field of rational numbers $\mathbb{Q}$, i.e. a Galois extension $K$ of $\mathbb{Q}$ such that the Galois group $\mathrm{Gal}(K/\mathbb{Q})$ 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=33666
Abelian number field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Abelian_number_field&oldid=33666
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article