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[parent] cyclotomic extension (Definition)
Definition 1   Let $K$ be a field and let $\overline{K}$ be a fixed algebraic closure of $K$ . A cyclotomic extension of $K$ is an extension field of the form $K(\zeta)$ where $\zeta\in \overline{K}$ is a root of unity.



"cyclotomic extension" is owned by alozano.
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See Also: Kronecker-Weber theorem, cyclotomic field


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Cross-references: root of unity, extension field, algebraic closure, fixed, field
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This is version 1 of cyclotomic extension, born on 2005-02-23.
Object id is 6813, canonical name is CyclotomicExtension.
Accessed 3404 times total.

Classification:
AMS MSC: 11-00 (Number theory :: General reference works )
 11R18 (Number theory :: Algebraic number theory: global fields :: Cyclotomic extensions)
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