Question

Subfields of Galois Extensions and association with Galois Groups

score 37 · Answer 1 · 2026-03-25 07:16:37

37

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Subfields of Galois Extensions and association with Galois Groups

Published on 25 Mar 2026 - 7:16

score 222 · Answer 2 · 2026-03-26 04:32:08

222

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A problem about decomposition field of a polynomial with prime degree

Published on 26 Mar 2026 - 4:32

score 390 · Answer 3 · 2026-03-25 01:20:33

390

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How to describe lattice of subfields of $\mathbb{Q}(\zeta_{13})$

Published on 25 Mar 2026 - 1:20

score 46 · Answer 4 · 2026-03-25 07:16:34

46

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How to Simplify $\mathbb{Q}(\zeta_4,\zeta_8 , \zeta_{12},\zeta_6 )$

Published on 25 Mar 2026 - 7:16

score 1.7k · Answer 5 · 2018-11-01 04:27:19

1.7k

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Showing that all elements of a Field Extension are transcendental

Published on 01 Nov 2018 - 4:27

score 203 · Answer 6 · 2026-03-27 04:35:14

203

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Finite field where each subgroup of the multiplicative group of nonzero elements of the field, together with $0$, forms a field.

Published on 27 Mar 2026 - 4:35

score 78 · Answer 7 · 2018-11-02 21:13:30

78

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Understanding why $\phi : \mathbb{Q}(\alpha)\rightarrow \mathbb{Q}(\beta)$ is a homomorphism

Published on 02 Nov 2018 - 21:13

score 108 · Answer 8 · 2026-03-25 04:43:01

108

Views

Proof of solvability of Galois group of Solvable extension.

Published on 25 Mar 2026 - 4:43

score 338 · Answer 9 · 2018-11-04 23:22:57

338

Views

An alternate proof for $[K:Q] = 2$ then $K = Q(\sqrt{d}), d$ square free

Published on 04 Nov 2018 - 23:22

score 84 · Answer 10 · 2018-11-05 00:42:29

84

Views

field extensions - prove that $\mathbb{Q}(\sqrt{5},\sqrt{7}):\mathbb{Q}$ is a simple extension

Published on 05 Nov 2018 - 0:42

score 79 · Answer 11 · 2026-03-25 03:00:58

79

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Visualization of quadratic rings $\mathbb{Z}[\sqrt{d}]$

Published on 25 Mar 2026 - 3:00

score 319 · Answer 12 · 2018-11-07 21:52:17

319

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Finding the degree of an algebraic field extension

Published on 07 Nov 2018 - 21:52

score 952 · Answer 13 · 2018-11-08 12:24:12

952

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Field Extension $E/F$ algebraic iff every subring $R$ of $E$ which contains $F$ is a field

Published on 08 Nov 2018 - 12:24

score 32 · Answer 14 · 2018-11-09 23:06:38

32

Views

Basis independent proof that $K[X]/p_{_l}\cong K(l)$

Published on 09 Nov 2018 - 23:06

score 178 · Answer 15 · 2018-11-11 09:55:29

178

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minimal polynomial of $(2^{1/3}+3^{1/4})^{12}$ over $\mathbb Q$

Published on 11 Nov 2018 - 9:55

List Question

Subfields of Galois Extensions and association with Galois Groups

A problem about decomposition field of a polynomial with prime degree

How to describe lattice of subfields of $\mathbb{Q}(\zeta_{13})$

How to Simplify $\mathbb{Q}(\zeta_4,\zeta_8 , \zeta_{12},\zeta_6 )$

Showing that all elements of a Field Extension are transcendental

Finite field where each subgroup of the multiplicative group of nonzero elements of the field, together with $0$, forms a field.

Understanding why $\phi : \mathbb{Q}(\alpha)\rightarrow \mathbb{Q}(\beta)$ is a homomorphism

Proof of solvability of Galois group of Solvable extension.

An alternate proof for $[K:Q] = 2$ then $K = Q(\sqrt{d}), d$ square free

field extensions - prove that $\mathbb{Q}(\sqrt{5},\sqrt{7}):\mathbb{Q}$ is a simple extension

Visualization of quadratic rings $\mathbb{Z}[\sqrt{d}]$

Finding the degree of an algebraic field extension

Field Extension $E/F$ algebraic iff every subring $R$ of $E$ which contains $F$ is a field

Basis independent proof that $K[X]/p_{_l}\cong K(l)$

minimal polynomial of $(2^{1/3}+3^{1/4})^{12}$ over $\mathbb Q$

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