List questions from splitting-field

Published on 30 Mar 2017 - 7:37

170

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Splitting field of a polynomial over $ \mathbb{C}(t) $

Published on 31 Mar 2017 - 6:00

160

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Smallest normal extension of F containing E is composite of E and all its conjugates over F. Proof

Published on 03 Apr 2017 - 23:19

32

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Splitting fields corresponding to factorization

Published on 07 Apr 2017 - 8:03

44

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Is such a polynomial irreducible?

Published on 07 Apr 2017 - 8:08

19

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Galois group of composition contains direct product of certain Galois group

Published on 30 Jan 2023 - 13:32

57

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Find all homomorphisms from $\mathbb{Q}(\sqrt[5]2)$ to $\mathbb{Q}(\sqrt[5]2, \omega)$

Published on 01 Feb 2023 - 8:47

55

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Splitting Field of $p(x) = (x^4-1)(x^3-2)$

Published on 09 Feb 2023 - 20:04

53

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Dimension of splitting field of $(x^3+x+1)(x^2+1) \in \mathbb{Q}[x]$ over $\mathbb{Q}$

Published on 27 Feb 2023 - 14:29

405

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Splitting Field of $x^6-1$ and its degree over $\mathbb{Q}$.

Published on 02 Mar 2023 - 23:06

274

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Galois group of the splitting field of $f(x^2)$ over the splitting field of $f(x)$

Published on 05 Mar 2023 - 21:49

87

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Galois Group of $\mathbb{Q}(\sqrt 2, \sqrt 3)$

Published on 12 Mar 2023 - 15:30

104

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Intermediate Fields of $\mathbb{Q}(\zeta_{16})$ and Corresponding Splitting Polynomials

Published on 26 Mar 2026 - 14:19

117

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Galois group of $x^3-2$

Published on 26 Mar 2023 - 22:25

66

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Uniqueness of the Split Closure of a Field Extension

Published on 28 Mar 2023 - 0:54

List Question

Compute $[\mathbb{Q}(\pi):\mathbb{Q}(\pi^2)]$ and $\{\mathbb{Q}(\pi):\mathbb{Q}(\pi^2)\}$

Splitting field of a polynomial over $ \mathbb{C}(t) $

Smallest normal extension of F containing E is composite of E and all its conjugates over F. Proof

Splitting fields corresponding to factorization

Is such a polynomial irreducible?

Galois group of composition contains direct product of certain Galois group

Find all homomorphisms from $\mathbb{Q}(\sqrt[5]2)$ to $\mathbb{Q}(\sqrt[5]2, \omega)$

Splitting Field of $p(x) = (x^4-1)(x^3-2)$

Dimension of splitting field of $(x^3+x+1)(x^2+1) \in \mathbb{Q}[x]$ over $\mathbb{Q}$

Splitting Field of $x^6-1$ and its degree over $\mathbb{Q}$.

Galois group of the splitting field of $f(x^2)$ over the splitting field of $f(x)$

Galois Group of $\mathbb{Q}(\sqrt 2, \sqrt 3)$

Intermediate Fields of $\mathbb{Q}(\zeta_{16})$ and Corresponding Splitting Polynomials

Galois group of $x^3-2$

Uniqueness of the Split Closure of a Field Extension

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