List questions from galois-theory | MathQa

Understanding calculations of log/antilog tables of polynomials over finite field

Published on 12 Jan 2025 - 19:17

Give $3$ examples of a field extensions which are neither normal nor separable.

Published on 12 Jan 2025 - 19:23

Is there a normal extension $L$ such that $\mathbb Q \subset \mathbb Q(\sqrt3) \subset L$ with cyclic $\text{Gal}(L/\mathbb Q) \cong \mathbb Z_4^+$

Published on 31 Dec 2024 - 8:23

Show that $K \neq F(a)$ for any $a \in K$.

Published on 27 Dec 2024 - 2:32

Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.

Published on 05 Jan 2025 - 17:07

What Is the Basis of the Splitting Field of $x^3 - 2$ over $\mathbb Q$?

Published on 03 Jan 2025 - 15:44

Is $\mathbb{Q}(\sqrt{2+\sqrt{-5}})$ normal over $\mathbb{Q}$

Published on 12 Jan 2025 - 9:01

Any difference working with matrices over fields?

Published on 02 Jan 2025 - 19:12

Let $F$ be a field of characteristic $p$. Show that $F$ is perfect field if and only if...

Published on 01 Jan 2025 - 12:06

Roots of $x^3-2=0$ over $\mathbb{Q}$

Published on 12 Jan 2025 - 18:38