cyclotomic field

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cyclotomic field

[‚sī·klə¦täm·ik ′fēld]
(mathematics)
The extension field of a given field K which is the smallest extension field of K that includes the n th roots of unity for some integer n.
References in periodicals archive ?
In addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields.