List questions from splitting-field

Published on 16 Apr 2026 - 10:40

45

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Splitting field of a polynomial

Published on 11 Apr 2026 - 15:44

361

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Uniqueness of the splitting field of a polynominal.

Published on 14 Apr 2026 - 4:44

153

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Calculate $[\mathbb{Q} (\sqrt[3]{3} + \sqrt {2}) : \mathbb{Q}]$

Published on 17 Apr 2026 - 4:20

516

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Galois Group of the polynomial $f(x)=x^4-9$ over $\mathbb{Q}$

Published on 15 Apr 2026 - 12:32

290

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Galois group is isomorphic to $S_5$?

Published on 14 Apr 2026 - 15:38

1k

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Confusion about the splitting field of $x^3-7$

Published on 10 Apr 2026 - 16:48

195

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$x^4+x+1 \in\mathbb{Z}_2[x]$ - Galois group

Published on 15 Apr 2026 - 2:23

996

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Splitting field of polynomial is F8

Published on 11 Apr 2026 - 9:41

107

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Splitting field of a polynomial $f(x) =(x^2-3)(x^2-5)(x^5-1)$ over $\mathbb{Q}$.

Published on 16 Apr 2026 - 11:47

106

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Equality of field extensions given Splitting field is $S_n$.

Published on 12 Apr 2026 - 23:28

280

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Galois number fields that have the imaginary unit.

Published on 15 Apr 2026 - 3:25

358

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Showing that the Galois group has an element of order 8.

Published on 14 Apr 2026 - 19:21

188

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Expression of elements in splitting field

Published on 12 Apr 2026 - 5:27

178

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Find Galois group of $f(X) = X^5+4X^3+9X+3$ over $\mathbb{Q}$, and find $K_{2}$, the splitting field of $f\pmod 2$

Published on 16 Apr 2026 - 10:44

List Question

Splitting Field of $x^3-x$ over $\mathbb{F}_4$

Splitting field of a polynomial

Uniqueness of the splitting field of a polynominal.

Calculate $[\mathbb{Q} (\sqrt[3]{3} + \sqrt {2}) : \mathbb{Q}]$

Galois Group of the polynomial $f(x)=x^4-9$ over $\mathbb{Q}$

Galois group is isomorphic to $S_5$?

Confusion about the splitting field of $x^3-7$

$x^4+x+1 \in\mathbb{Z}_2[x]$ - Galois group

Splitting field of polynomial is F8

Splitting field of a polynomial $f(x) =(x^2-3)(x^2-5)(x^5-1)$ over $\mathbb{Q}$.

Equality of field extensions given Splitting field is $S_n$.

Galois number fields that have the imaginary unit.

Showing that the Galois group has an element of order 8.

Expression of elements in splitting field

Find Galois group of $f(X) = X^5+4X^3+9X+3$ over $\mathbb{Q}$, and find $K_{2}$, the splitting field of $f\pmod 2$

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