List questions from splitting-field | MathQa

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

Published on 12 Jan 2025 - 9:01

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

Published on 12 Jan 2025 - 19:17

Purpose of Splitting Fields

Published on 12 Jan 2025 - 18:10

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

Published on 08 Jan 2025 - 10:44

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

Published on 12 Jan 2025 - 23:35

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

Published on 12 Jan 2025 - 23:51

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

Published on 12 Jan 2025 - 23:32

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 03 Jan 2025 - 9:11

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

Published on 12 Jan 2025 - 23:46

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

Published on 12 Jan 2025 - 23:50