Question

Unable to think about an argument in Lemma 2.11 of Hungerford Algebra

score 41 · Answer 1 · 2020-04-01 09:19:36

41

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Unable to think about an argument in Lemma 2.11 of Hungerford Algebra

Published on 01 Apr 2020 - 9:19

score 438 · Answer 2 · 2026-02-23 01:05:17

438

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A generalization of the theorem on natural irrationalities?

Published on 23 Feb 2026 - 1:05

score 91 · Answer 3 · 2026-03-25 08:09:55

91

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Group of Units a Subgroup of some ${S}_n$

Published on 25 Mar 2026 - 8:09

score 75 · Answer 4 · 2026-03-29 12:11:26

75

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A question in proof of a theorem in Galois Theory from Hungerford Algebra

Published on 29 Mar 2026 - 12:11

score 62 · Answer 5 · 2026-02-23 01:08:07

62

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When is it true that $K \cap F(a) = F$ and $[K(a):F(a)] = [K:F]$?

Published on 23 Feb 2026 - 1:08

score 39 · Answer 6 · 2026-04-01 22:18:25

39

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Gal$(X^2-X-1) ⊆ S_2$ and Gal$(X^9-X) ⊆ S_9$

Published on 01 Apr 2026 - 22:18

score 93 · Answer 7 · 2026-03-29 13:39:22

93

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Finding automorphism group for finite fields

Published on 29 Mar 2026 - 13:39

score 32 · Answer 8 · 2020-04-01 23:53:40

32

Views

Let $E_1, E_2$ be intermediate fields of the extension $K\subseteq F$. Then $\mathrm{tr.d.} (E_1E_2/K) \geq \mathrm{tr.d.} (E_i/K)$ for $i=1,2$.

Published on 01 Apr 2020 - 23:53

score 120 · Answer 9 · 2026-03-28 14:37:56

120

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Find $\mathrm{Gal}(\mathbb{Q}[\sqrt{13}, \sqrt{17}]/\mathbb{Q})$ and explicitly determine the intermediate subfields

Published on 28 Mar 2026 - 14:37

score 252 · Answer 10 · 2026-03-28 14:37:08

252

Views

Seeking counterexample to the modulo $p$ reduction method in finding Galois group.

Published on 28 Mar 2026 - 14:37

score 484 · Answer 11 · 2026-03-26 16:11:29

484

Views

Constructive Inverse Galois Problem for finite abelian groups

Published on 26 Mar 2026 - 16:11

score 250 · Answer 12 · 2020-04-02 20:31:25

250

Views

Prove galois conjugates of primitive $p$-th root of unity $\zeta$ are associate?

Published on 02 Apr 2020 - 20:31

score 338 · Answer 13 · 2026-03-25 07:43:57

338

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Decomposition group of $G_{K,S}$

Published on 25 Mar 2026 - 7:43

score 80 · Answer 14 · 2020-04-03 20:51:11

80

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On the relationship between elements of different inertia groups

Published on 26 Mar 2026 - 7:42

List Question

Unable to think about an argument in Lemma 2.11 of Hungerford Algebra

A generalization of the theorem on natural irrationalities?

Group of Units a Subgroup of some ${S}_n$

A question in proof of a theorem in Galois Theory from Hungerford Algebra

When is it true that $K \cap F(a) = F$ and $[K(a):F(a)] = [K:F]$?

Gal$(X^2-X-1) ⊆ S_2$ and Gal$(X^9-X) ⊆ S_9$

Finding automorphism group for finite fields

Let $E_1, E_2$ be intermediate fields of the extension $K\subseteq F$. Then $\mathrm{tr.d.} (E_1E_2/K) \geq \mathrm{tr.d.} (E_i/K)$ for $i=1,2$.

Find $\mathrm{Gal}(\mathbb{Q}[\sqrt{13}, \sqrt{17}]/\mathbb{Q})$ and explicitly determine the intermediate subfields

Seeking counterexample to the modulo $p$ reduction method in finding Galois group.

Constructive Inverse Galois Problem for finite abelian groups

Prove galois conjugates of primitive $p$-th root of unity $\zeta$ are associate?

Decomposition group of $G_{K,S}$

More clarification for problem 18.7 Isaacs' Algebra

On the relationship between elements of different inertia groups

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