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cyclotomic field
(redirected from Cyclotomic)

   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.
Gershman, and Shahram Shahbazpanahi --5 Trace-Orthogonal Full Diversity Cyclotomic Space-Time Codes (Jian-Kang Zhang, Jing Liu, and Kon Max Wong --6 Linear and Dirty-Paper Techniques for the Multiuser MIMO Downlink (Christian B.
Topics in applications include solvability by radicals, cyclotomic extensions, geometric constructions and finite fields.
 
 
 
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