List questions from cyclotomic-fields

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How to solve really large (exponential) equations

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Solving for integers $x$ such that $p$ divides $\Phi_n(x)$

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'Reciprocity' in $\mathbb{Z}[\zeta_n]$

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Can we learn things about coefficients of cyclotomic polynomials from Sylow Theory?

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Determining minimal polynomials of roots of unity

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Are the class numbers for the field $\Bbb{Q}(e^{\pi i/n})$ $1$ for all prime $n$?

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70

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Proving $M: \mathbb Q$ may not be a Galois Extension

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323

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How many subfields of $\mathbb Q(\zeta_{16})$ for which $[L:\mathbb Q]=2$?

Published on 22 Nov 2017 - 21:21

627

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Show a sum of 5th roots of unity is a real number.

Published on 29 Nov 2017 - 0:42

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Elements and structure of $\text{Gal}(\mathbb Q(\zeta_{21}):\mathbb Q)$

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Galois group of a cyclotomic extension of $\mathbb Q$ isomorphic to a direct product of its subgroups.

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Proof of property of cyclotomic prime

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Prove any unit $u$ in $\mathbb{Z}[\zeta_{p}]$ is a product of a root of unity and real unit.

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529

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Is there a standard way to find the subfields of $\Bbb{Q}(\zeta_n)$ when $n$ is not prime?

Published on 07 Dec 2017 - 18:47

List Question

Primes splitting in cyclotomic extension of quadratic field

How to solve really large (exponential) equations

Solving for integers $x$ such that $p$ divides $\Phi_n(x)$

'Reciprocity' in $\mathbb{Z}[\zeta_n]$

Can we learn things about coefficients of cyclotomic polynomials from Sylow Theory?

Determining minimal polynomials of roots of unity

Are the class numbers for the field $\Bbb{Q}(e^{\pi i/n})$ $1$ for all prime $n$?

Proving $M: \mathbb Q$ may not be a Galois Extension

How many subfields of $\mathbb Q(\zeta_{16})$ for which $[L:\mathbb Q]=2$?

Show a sum of 5th roots of unity is a real number.

Elements and structure of $\text{Gal}(\mathbb Q(\zeta_{21}):\mathbb Q)$

Galois group of a cyclotomic extension of $\mathbb Q$ isomorphic to a direct product of its subgroups.

Proof of property of cyclotomic prime

Prove any unit $u$ in $\mathbb{Z}[\zeta_{p}]$ is a product of a root of unity and real unit.

Is there a standard way to find the subfields of $\Bbb{Q}(\zeta_n)$ when $n$ is not prime?

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