List questions from cyclotomic-fields

Published on 10 May 2026 - 16:08

42

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Proving that the Galois group of the cyclotomic field $\mathbb{Q}(\zeta_n)$ is isomorphic to $U(\mathbb{Z}/n\mathbb{Z})$

Published on 14 Apr 2026 - 17:42

81

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Cyclotomic Extensions

Published on 14 Apr 2026 - 23:41

299

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Finding minimal polynomial of generator of quadratic subfield of cyclotomic extension $\mathbb{Q}(\xi_{17})$

Published on 12 Apr 2026 - 22:33

436

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Precise factorization of Dedekind zeta function of cyclotomic field

Published on 11 Apr 2026 - 20:01

179

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Computation in cyclotomic field $\mathbb{Q}(\zeta_{7})$ over $\mathbb{Q}$.

Published on 16 Apr 2026 - 1:33

77

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Generate a group with Cyclotomic representation in GAP

Published on 10 May 2026 - 17:36

199

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Quadratic reciprocity and decomposition of primes in cyclotomic fields

Published on 10 May 2026 - 15:09

466

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Problem on cyclotomic field

Published on 10 May 2026 - 9:46

282

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Decomposition and inertia fields in the factorization of $3$ in $\mathbb{Q}(\zeta_{24})$

Published on 25 Mar 2026 - 3:24

121

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Sub-Sum of Roots of Unity

Published on 10 Apr 2026 - 22:58

1.3k

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Find a normal extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}_5$

Published on 15 Apr 2026 - 19:46

160

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Find a normal extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}_2\times \mathbb{Z}_2$

Published on 14 Apr 2026 - 18:03

354

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Galois Group of $\mathbb{Q}(\sqrt[3]{3},i\sqrt{3},\zeta_{13})/ \mathbb{Q}$

Published on 17 Apr 2026 - 0:46

156

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Rational coefficients of the prime roots of unity (basis set in $\mathbb{Q}$).

Published on 15 Apr 2026 - 10:39

List Question

The Relationship Between Cyclotomic Polynomials and Ramification

Proving that the Galois group of the cyclotomic field $\mathbb{Q}(\zeta_n)$ is isomorphic to $U(\mathbb{Z}/n\mathbb{Z})$

Cyclotomic Extensions

Finding minimal polynomial of generator of quadratic subfield of cyclotomic extension $\mathbb{Q}(\xi_{17})$

Precise factorization of Dedekind zeta function of cyclotomic field

Computation in cyclotomic field $\mathbb{Q}(\zeta_{7})$ over $\mathbb{Q}$.

Generate a group with Cyclotomic representation in GAP

Quadratic reciprocity and decomposition of primes in cyclotomic fields

Problem on cyclotomic field

Decomposition and inertia fields in the factorization of $3$ in $\mathbb{Q}(\zeta_{24})$

Sub-Sum of Roots of Unity

Find a normal extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}_5$

Find a normal extension of $\mathbb{Q}$ with Galois group $\mathbb{Z}_2\times \mathbb{Z}_2$

Galois Group of $\mathbb{Q}(\sqrt[3]{3},i\sqrt{3},\zeta_{13})/ \mathbb{Q}$

Rational coefficients of the prime roots of unity (basis set in $\mathbb{Q}$).

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