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cyclotomic field
(redirected from Cyclotomic fields)

   Also found in: Wikipedia 0.01 sec.
cyclotomic field [‚sī·klə¦täm·ik ′fēld]
(mathematics)
The extension field of a given fieldKwhich is the smallest extension field ofKthat includes thenth roots of unity for some integern.


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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.
 
 
 
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