List questions from galois-theory

Published on 26 Mar 2026 - 22:57

126

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Splitting field of $x^p − x + t$ not solvable over F

Published on 25 Mar 2026 - 3:04

33

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

Published on 29 Mar 2026 - 19:57

179

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

Published on 29 Mar 2026 - 19:57

103

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Galois group of finite field extension

Published on 25 Mar 2026 - 15:51

69

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Degree of field extensions $\mathbb Q(\alpha)/\mathbb Q$ and $\mathbb Q(\alpha^{12})/\mathbb Q$, where $\alpha = 2^{1/3}+3^{1/4}$

Published on 29 Mar 2026 - 21:37

547

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minimal polynomial of $\sin (2\pi/7)$ over $\mathbb Q(\sqrt 7)$

Published on 25 Mar 2026 - 16:01

223

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Galois group of $(X^4 - 2)(X^2 + 2)$

Published on 14 Nov 2018 - 22:49

851

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Multiplicative inverse of a polynomial in $GF(8)$

Published on 25 Mar 2026 - 22:26

739

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M:K and L:K are normal and finite extensions then M intersection L : K is also finite and normal.

Published on 27 Mar 2026 - 14:59

1k

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Galois group of $(x^3 - 2)(x^2 + 3)$ over $\mathbb{Q}$

Published on 25 Mar 2026 - 17:53

71

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Intermediary Extensions of $\mathbb{K}=\mathbb{Q}(\frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2})$.

Published on 26 Mar 2026 - 14:34

855

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How to understand the Artin-Schreier correspondence?

Published on 25 Mar 2026 - 17:53

1.3k

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Size of $\mathrm{Gal}(\mathbb{Q}(\cos(2\pi/7))/\mathbb{Q})$

Published on 25 Mar 2026 - 17:26

73

Views

Find polynomial given splitting field

Published on 25 Mar 2026 - 17:51

List Question

$x(x − N p^2)(x + N p^2)(x^2 + N^2p^4) + p $ cannot be solved by radicals

Splitting field of $x^p − x + t$ not solvable over F

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

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

Galois group of finite field extension

Degree of field extensions $\mathbb Q(\alpha)/\mathbb Q$ and $\mathbb Q(\alpha^{12})/\mathbb Q$, where $\alpha = 2^{1/3}+3^{1/4}$

minimal polynomial of $\sin (2\pi/7)$ over $\mathbb Q(\sqrt 7)$

Galois group of $(X^4 - 2)(X^2 + 2)$

Multiplicative inverse of a polynomial in $GF(8)$

M:K and L:K are normal and finite extensions then M intersection L : K is also finite and normal.

Galois group of $(x^3 - 2)(x^2 + 3)$ over $\mathbb{Q}$

Intermediary Extensions of $\mathbb{K}=\mathbb{Q}(\frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2})$.

How to understand the Artin-Schreier correspondence?

Size of $\mathrm{Gal}(\mathbb{Q}(\cos(2\pi/7))/\mathbb{Q})$

Find polynomial given splitting field

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