# Abelian extension

From Encyclopedia of Mathematics

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2010 Mathematics Subject Classification: *Primary:* 12F10 *Secondary:* 11R20 [MSN][ZBL]

A Galois extension for which the Galois group is Abelian.

An Abelian number field is an Abelian extension of the field of rational numbers.

**How to Cite This Entry:**

Abelian extension.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Abelian_extension&oldid=41885