List questions from cyclotomic-fields

Published on 11 Apr 2026 - 17:29

48

Views

How to show that a given polynomial is irreducible in a cyclotomic field

Published on 14 Apr 2026 - 13:20

591

Views

What is the tensor product $\mathcal{O}_K \otimes_\mathbb{Q} \mathbb{R}$?

Published on 15 Apr 2026 - 19:11

87

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Minimal polynomials of primitive elements compared to normal elements

Published on 16 Apr 2026 - 15:34

775

Views

Find Galois group of $L:\mathbb{Q}(\sqrt{-5})$ where $L=\mathbb{Q}(\zeta_{20})$

Published on 16 Apr 2026 - 14:27

43

Views

Question regarding Galois group and algebraic extensions

Published on 13 Apr 2026 - 6:35

237

Views

Characterize the generators of the totally real subfield of an arbitrary cyclotomic field

Published on 15 Apr 2026 - 1:28

265

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Inertia fields and decomposition fields in cyclotomic extensions

Published on 14 Apr 2026 - 15:18

52

Views

Confusion about Quadratic Fields

Published on 12 Apr 2026 - 4:07

61

Views

is $\Bbb Q(2^{1/4}) \subseteq \Bbb Q(\zeta_{16})$

Published on 17 Apr 2026 - 6:56

398

Views

Is $\Bbb Q(\sqrt{15}) \subset \Bbb Q(\zeta_{15})$?

Published on 15 Apr 2026 - 20:27

193

Views

Questions on $\Bbb Q(\zeta_7 + {\zeta_7}^{-1})|\Bbb Q$

Published on 16 Apr 2026 - 11:18

113

Views

Are Galois conjugates of a prime of a cyclotomic ring also primes?

Published on 03 May 2026 - 19:21

162

Views

Chebotarev's theorem on cyclotomic extensions.

Published on 12 Apr 2026 - 4:58

366

Views

Find all subfields of $\mathbb{Q}(\mu_{24})$

Published on 17 Apr 2026 - 9:55

List Question

A quadratic cyclotomic extension

How to show that a given polynomial is irreducible in a cyclotomic field

What is the tensor product $\mathcal{O}_K \otimes_\mathbb{Q} \mathbb{R}$?

Minimal polynomials of primitive elements compared to normal elements

Find Galois group of $L:\mathbb{Q}(\sqrt{-5})$ where $L=\mathbb{Q}(\zeta_{20})$

Question regarding Galois group and algebraic extensions

Characterize the generators of the totally real subfield of an arbitrary cyclotomic field

Inertia fields and decomposition fields in cyclotomic extensions

Confusion about Quadratic Fields

is $\Bbb Q(2^{1/4}) \subseteq \Bbb Q(\zeta_{16})$

Is $\Bbb Q(\sqrt{15}) \subset \Bbb Q(\zeta_{15})$?

Questions on $\Bbb Q(\zeta_7 + {\zeta_7}^{-1})|\Bbb Q$

Are Galois conjugates of a prime of a cyclotomic ring also primes?

Chebotarev's theorem on cyclotomic extensions.

Find all subfields of $\mathbb{Q}(\mu_{24})$

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