View source for Non-Abelian number field

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An algebraic [[Number field|number field]] with a non-Abelian [[Galois group|Galois group]] over the field of rational numbers  $  \mathbf Q $, 
or a field that is not normal over  $  \mathbf Q $. 
Sometimes, instead of  $  \mathbf Q $, 
one considers some other ground field  $  k $
of algebraic numbers, and the term  "non-Abelian"  is understood to refer to the Galois group over  $  k $.

====Comments====

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  E. Weiss,   "Algebraic number theory" , McGraw-Hill  (1963)  pp. Sects. 4–9</TD></TR></table>