Namespaces
Variants
Actions

Non-Abelian number field

From Encyclopedia of Mathematics
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.


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

References

[a1] E. Weiss, "Algebraic number theory" , McGraw-Hill (1963) pp. Sects. 4–9
How to Cite This Entry:
Non-Abelian number field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-Abelian_number_field&oldid=53755
This article was adapted from an original article by L.V. Kuz'min (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article