List questions from splitting-field

Published on 06 Apr 2015 - 1:05

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Galois group of $x^4-2$

Published on 12 Apr 2015 - 21:14

1.4k

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Show that the splitting field of $x^8-3$ has degree 32 over $\mathbb{Q}$

Published on 12 Apr 2015 - 21:51

263

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Q basis for splitting field

Published on 26 Mar 2026 - 21:07

1.2k

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Galois group of $x^p-x-a$

Published on 26 Apr 2015 - 0:40

212

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Splitting fields and their degrees

Published on 29 Apr 2015 - 4:42

5k

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Degree of splitting field divides n!

Published on 30 Apr 2015 - 20:41

552

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Prove that the splitting field of $x^{p}-q$ for prime numbers $p,q$ is an extension of degree $p(p-1)$ in $\mathbb{Q}$.

Published on 01 May 2015 - 6:31

756

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Find the splitting field of $x^6-2x^3-1$ over $\mathbb{Q}$.

Published on 01 May 2015 - 6:52

1k

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Irreducible polynomial over a field $k$ with $char\ k = p > 0$

Published on 01 May 2015 - 20:25

158

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Galois Theory and Splitting Fields

Published on 04 May 2015 - 5:31

158

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Construction of a splitting field.

Published on 06 May 2015 - 12:33

210

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Proof help: why is the constructed field a splitting field?

Published on 11 May 2015 - 18:33

2.3k

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Degree of $\mathbb{Q}(\omega)/\mathbb{Q}$ where $\omega^{3}=1$

Published on 11 May 2015 - 20:56

3.5k

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How to prove that algebraic numbers form a field?

Published on 11 May 2015 - 21:10

List Question

Determine whether the extension is Galois

Galois group of $x^4-2$

Show that the splitting field of $x^8-3$ has degree 32 over $\mathbb{Q}$

Q basis for splitting field

Galois group of $x^p-x-a$

Splitting fields and their degrees

Degree of splitting field divides n!

Prove that the splitting field of $x^{p}-q$ for prime numbers $p,q$ is an extension of degree $p(p-1)$ in $\mathbb{Q}$.

Find the splitting field of $x^6-2x^3-1$ over $\mathbb{Q}$.

Irreducible polynomial over a field $k$ with $char\ k = p > 0$

Galois Theory and Splitting Fields

Construction of a splitting field.

Proof help: why is the constructed field a splitting field?

Degree of $\mathbb{Q}(\omega)/\mathbb{Q}$ where $\omega^{3}=1$

How to prove that algebraic numbers form a field?

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