List questions from splitting-field

Published on 05 Aug 2015 - 6:30

462

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Finding roots of the polynomial $x^4+x^3+x^2+x+1$

Published on 12 Aug 2015 - 21:25

196

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Question about the splitting field of a finite separable extension

Published on 15 Aug 2015 - 22:54

69

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Degree of a splitting field of a polynomial

Published on 22 Aug 2015 - 14:50

66

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Finding $|E|$, where $E$ is the Splitting Field of $x^8-1$ over a Field of $4$ Elements.

Published on 29 Aug 2015 - 7:59

132

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Is $\mathbb{Q}(\alpha_i^2)$ an intermediate field of $\mathbf{K}/\mathbb{Q}$, where $K$ is the splitting field of $x^3-2$ over $\mathbb{Q}$?

Published on 03 Sep 2015 - 3:55

583

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Finding the Number of Subfields of the Splitting Field of $x^{35}-1$ over $\mathbb{F}_8$

Published on 26 Mar 2026 - 22:55

159

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Finding the Number of Subfields of the Splitting Field of $x^{42}-1$ over $\mathbb{Q}$

Published on 14 Sep 2015 - 7:19

590

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Question regarding the proof of the Fundamental Theorem of Algebra

Published on 17 Sep 2015 - 9:44

777

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Normal extensions and conjugates

Published on 19 Sep 2015 - 5:05

7.9k

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splitting field of a polynomial over a finite field

Published on 29 Sep 2015 - 19:36

1.2k

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Determine whether the Galois group of the polynomial $x^5-2$ over $\mathbb Q$ is cyclic or NOT

Published on 05 Oct 2015 - 5:38

92

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Decompose the polynomial $f(x)=\sum\limits_{n=0}^{100}x^n$ as product of irreducible polynomials

Published on 09 Oct 2015 - 21:12

101

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Is there concrete example of finite extension which is not normal?

Published on 23 Mar 2026 - 3:51

1.7k

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I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$

Published on 13 Oct 2015 - 15:00

List Question

Degree of a splitting field

Finding roots of the polynomial $x^4+x^3+x^2+x+1$

Question about the splitting field of a finite separable extension

Degree of a splitting field of a polynomial

Finding $|E|$, where $E$ is the Splitting Field of $x^8-1$ over a Field of $4$ Elements.

Is $\mathbb{Q}(\alpha_i^2)$ an intermediate field of $\mathbf{K}/\mathbb{Q}$, where $K$ is the splitting field of $x^3-2$ over $\mathbb{Q}$?

Finding the Number of Subfields of the Splitting Field of $x^{35}-1$ over $\mathbb{F}_8$

Finding the Number of Subfields of the Splitting Field of $x^{42}-1$ over $\mathbb{Q}$

Question regarding the proof of the Fundamental Theorem of Algebra

Normal extensions and conjugates

splitting field of a polynomial over a finite field

Determine whether the Galois group of the polynomial $x^5-2$ over $\mathbb Q$ is cyclic or NOT

Decompose the polynomial $f(x)=\sum\limits_{n=0}^{100}x^n$ as product of irreducible polynomials

Is there concrete example of finite extension which is not normal?

I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$

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