| 1. | A cyclotomic extension, under either definition, is always abelian.
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| 2. | The polynomial ? ( x ) will be the cyclotomic polynomial.
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| 3. | The cyclotomic identity witnesses the fact that these two algebras are isomorphic.
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| 4. | A consequence is that the cyclotomic polynomials are self-reciprocal for.
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| 5. | The cyclotomic units satisfy " distribution relations ".
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| 6. | It makes extensive use of the theory of cyclotomic fields and Galois modules.
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| 7. | Every subfield of a cyclotomic field is an abelian extension of the rationals.
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| 8. | Cyclotomic polynomials are solvable in Gauss in 1797.
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| 9. | He created a series of papers on Iwasawa's conjecture for cyclotomic fields.
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| 10. | Cyclotomic polynomials are also helpful in finding factorizations.
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मोबाइल