# Non-Abelian number field

From Encyclopedia of Mathematics

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

#### Comments

#### References

[a1] | E. Weiss, "Algebraic number theory" , McGraw-Hill (1963) pp. Sects. 4–9 |

**How to Cite This Entry:**

Non-Abelian number field. L.V. Kuz'min (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Non-Abelian_number_field&oldid=13057

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098