List questions from cyclotomic-fields

Published on 04 Feb 2019 - 20:11

45

Views

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

Published on 07 Feb 2019 - 18:52

588

Views

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

Published on 09 Feb 2019 - 16:55

84

Views

Minimal polynomials of primitive elements compared to normal elements

Published on 12 Feb 2019 - 18:14

772

Views

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

Published on 22 Feb 2019 - 1:44

41

Views

Question regarding Galois group and algebraic extensions

Published on 24 Feb 2019 - 7:28

234

Views

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

Published on 25 Feb 2019 - 19:21

262

Views

Inertia fields and decomposition fields in cyclotomic extensions

Published on 11 Mar 2019 - 4:51

47

Views

Confusion about Quadratic Fields

Published on 16 Mar 2019 - 14:56

58

Views

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

Published on 07 Apr 2019 - 10:50

395

Views

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

Published on 07 Apr 2019 - 11:11

190

Views

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

Published on 07 Apr 2019 - 11:43

111

Views

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

Published on 23 Feb 2026 - 3:00

159

Views

Chebotarev's theorem on cyclotomic extensions.

Published on 11 Apr 2019 - 2:00

363

Views

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

Published on 15 Apr 2019 - 18:38

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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