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Non-Abelian number field

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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 .


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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