List questions from splitting-field

Published on 18 Mar 2026 - 23:57

198

Views

How do I factor $x^8-x$ over $\mathbb{Z}_2$?

Published on 11 Mar 2026 - 4:41

427

Views

Proof Verification Regarding Image of $K$-homomorphisms of a Normal Extension

Published on 24 Mar 2026 - 21:52

124

Views

Trying to find splitting fields over Q of $x^{19} -1$

Published on 10 Nov 2015 - 20:41

197

Views

Determining whether $Q(i)(^4\sqrt 2) :Q(i)$ is a normal extension

Published on 11 Nov 2015 - 20:03

22

Views

If $P\in K[X]$ irreducible, and if $\alpha_1,...,\alpha_n$ are his roots, does his splitting field is $K(\alpha_1,...,\alpha_n)$?

Published on 18 Mar 2026 - 23:56

212

Views

Normal extension, why is $E/\mathbb F_p(t)$ normal?

Published on 25 Mar 2026 - 16:50

98

Views

What is the splitting field of $(X^3-2)(X^3-3)(X^2-2)$

Published on 18 Nov 2015 - 21:03

302

Views

Splitting field and field extension $\mathbb Q(j,\sqrt[3]2)$

Published on 18 Nov 2015 - 21:33

941

Views

Is every finitely generated field extension finite?

Published on 22 Nov 2015 - 11:30

774

Views

Problem with units in number field

Published on 23 Nov 2015 - 23:16

295

Views

questions about construction of splitting fields of polynomial $\langle x^3-2\rangle$ over $\mathbb{Q}$

Published on 25 Nov 2015 - 16:31

159

Views

Splitting field of $x^6-6x^4-10x^3+12x^2-60x+17$

Published on 26 Nov 2015 - 7:56

35

Views

Prove that $Q(u)$ contains a subfield that has degree $3$ over $Q.$

Published on 29 Nov 2015 - 2:13

179

Views

A galois extension being the splitting field of $X^p-a^p$.

Published on 29 Nov 2015 - 16:27

List Question

Purpose of Splitting Fields

How do I factor $x^8-x$ over $\mathbb{Z}_2$?

Proof Verification Regarding Image of $K$-homomorphisms of a Normal Extension

Trying to find splitting fields over Q of $x^{19} -1$

Determining whether $Q(i)(^4\sqrt 2) :Q(i)$ is a normal extension

If $P\in K[X]$ irreducible, and if $\alpha_1,...,\alpha_n$ are his roots, does his splitting field is $K(\alpha_1,...,\alpha_n)$?

Normal extension, why is $E/\mathbb F_p(t)$ normal?

What is the splitting field of $(X^3-2)(X^3-3)(X^2-2)$

Splitting field and field extension $\mathbb Q(j,\sqrt[3]2)$

Is every finitely generated field extension finite?

Problem with units in number field

questions about construction of splitting fields of polynomial $\langle x^3-2\rangle$ over $\mathbb{Q}$

Splitting field of $x^6-6x^4-10x^3+12x^2-60x+17$

Prove that $Q(u)$ contains a subfield that has degree $3$ over $Q.$

A galois extension being the splitting field of $X^p-a^p$.

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