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$K(\zeta)/k(\zeta)$ is Galois (proof verification)

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#field-theory #galois-theory #solution-verification #cyclotomic-fields
156
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The classical Gauss sum

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#galois-theory #cyclotomic-fields
357
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A question about the main conjecture of Iwasawa theory.

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#number-theory #algebraic-number-theory #cyclotomic-fields
251
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Fundamental Unit in cylotomic fields

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#number-theory #algebraic-number-theory #cyclotomic-fields
308
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Beyond angle trisection: Constructing regular polygons by dividing angles into 5, 7, 11, (et cetera) equal parts

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#trigonometry #galois-theory #polygons #geometric-construction #cyclotomic-fields
43
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Quadratic number fields that contain primitive root of unity

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#field-theory #extension-field #roots-of-unity #primitive-roots #cyclotomic-fields
135
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Generators of a Power of a Prime Ideal

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#ring-theory #algebraic-number-theory #maximal-and-prime-ideals #cyclotomic-polynomials #cyclotomic-fields
31
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Properties of a certain divisor of the $m^{\rm th}$ root of unity in the $m^{\rm th}$ cyclotomic ring.

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#algebraic-number-theory #cyclotomic-polynomials #cyclotomic-fields
110
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Calculate with roots of unity

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#complex-analysis #cyclotomic-fields
68
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What is meant by a number to be a root of unity?

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#number-theory #algebraic-number-theory #roots-of-unity #cyclotomic-fields
1k
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Discriminant of real cyclotomic field

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#number-theory #algebraic-number-theory #normed-spaces #cyclotomic-fields #discriminant
432
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Subfield of a cyclotomic number field where a prime $p$ is inert

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#algebraic-number-theory #cyclotomic-fields
82
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Study of $\mathbb Q(\xi_{12})/\mathbb Q$

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#abstract-algebra #galois-theory #splitting-field #cyclotomic-polynomials #cyclotomic-fields
194
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For which $p$ does $\mathbb{Q}(\zeta)$ have a unique maximal proper subfield

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#abstract-algebra #galois-theory #cyclotomic-fields
1.5k
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Degree of $\mathbb{Q}(\zeta_n)$ over $\mathbb{Q}(\zeta_n+\zeta_{n}^{-1})$

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#field-theory #algebraic-number-theory #cyclotomic-fields

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