Question

Prove that $[\mathbb{Q}(\sqrt[4]{10}\zeta_8,i):\mathbb{Q}]=8$

score 178 · Answer 1 · 2019-04-20 07:33:40

178

Views

Prove that $[\mathbb{Q}(\sqrt[4]{10}\zeta_8,i):\mathbb{Q}]=8$

Published on 20 Apr 2019 - 7:33

score 319 · Answer 2 · 2019-05-02 14:51:00

319

Views

Degree of splitting field of $x^3-5$ over $\mathbb{F}_7$

Published on 02 May 2019 - 14:51

score 445 · Answer 3 · 2019-05-04 11:20:21

445

Views

Splitting fields are not unique?

Published on 04 May 2019 - 11:20

score 79 · Answer 4 · 2019-05-10 11:27:55

79

Views

Degree of splitting field of $f(x) \in \mathbb Q[x]$

Published on 10 May 2019 - 11:27

score 50 · Answer 5 · 2026-03-25 12:22:37

50

Views

Zeros in Splitting Factor Rings

Published on 25 Mar 2026 - 12:22

score 63 · Answer 6 · 2026-03-25 22:10:08

63

Views

Is $[\mathbb Q(\sqrt[7]2):\mathbb Q]=7$ and $[\mathbb Q(w):\mathbb Q]=6$?

Published on 25 Mar 2026 - 22:10

score 302 · Answer 7 · 2019-05-31 12:24:27

302

Views

Galois group of $x^6+1$ over $\mathbb{F}_2$

Published on 31 May 2019 - 12:24

score 73 · Answer 8 · 2026-03-25 20:20:50

73

Views

The fraction field of the ring of formal power series and a splitting field

Published on 25 Mar 2026 - 20:20

score 46 · Answer 9 · 2019-06-04 16:23:54

46

Views

Finding degree of extension of splitting field of a polynomial

Published on 04 Jun 2019 - 16:23

score 61 · Answer 10 · 2019-06-13 10:44:21

61

Views

Confusion about a statement in this theorem concerning normal field extensions

Published on 13 Jun 2019 - 10:44

score 112 · Answer 11 · 2019-06-16 14:31:54

112

Views

Separability of the Normal Closure of a non finite extension

Published on 16 Jun 2019 - 14:31

score 123 · Answer 12 · 2019-06-27 10:20:22

123

Views

Tower of galois extensions. Prove that $\mathbb Q(2^{1/3})$ is not contained in $K_n$

Published on 27 Jun 2019 - 10:20

score 422 · Answer 13 · 2026-02-23 02:57:42

422

Views

An irreducible polynomial in $\mathbb Q[x]$ that has all zeros with multiplicity $2$

Published on 23 Feb 2026 - 2:57

score 154 · Answer 14 · 2019-07-23 14:17:01

154

Views

How to show that the splitting field of $x^7 - 5$ over $\mathbb{Q}$ is equal to $\mathbb{Q}(\sqrt[7]{5}, \exp(2\pi i/7))$?

Published on 23 Jul 2019 - 14:17

score 874 · Answer 15 · 2019-07-23 15:59:16

874

Views

Splitting Field of $x^4 + x^3 + 1$ over $\mathbb{F}_{32}$

Published on 23 Jul 2019 - 15:59

List Question

Prove that $[\mathbb{Q}(\sqrt[4]{10}\zeta_8,i):\mathbb{Q}]=8$

Degree of splitting field of $x^3-5$ over $\mathbb{F}_7$

Splitting fields are not unique?

Degree of splitting field of $f(x) \in \mathbb Q[x]$

Zeros in Splitting Factor Rings

Is $[\mathbb Q(\sqrt[7]2):\mathbb Q]=7$ and $[\mathbb Q(w):\mathbb Q]=6$?

Galois group of $x^6+1$ over $\mathbb{F}_2$

The fraction field of the ring of formal power series and a splitting field

Finding degree of extension of splitting field of a polynomial

Confusion about a statement in this theorem concerning normal field extensions

Separability of the Normal Closure of a non finite extension

Tower of galois extensions. Prove that $\mathbb Q(2^{1/3})$ is not contained in $K_n$

An irreducible polynomial in $\mathbb Q[x]$ that has all zeros with multiplicity $2$

How to show that the splitting field of $x^7 - 5$ over $\mathbb{Q}$ is equal to $\mathbb{Q}(\sqrt[7]{5}, \exp(2\pi i/7))$?

Splitting Field of $x^4 + x^3 + 1$ over $\mathbb{F}_{32}$

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