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New posts in Galois Theory
The Automorphism Group $\Gamma(\mathbb{Q}(\sqrt[n]{2}):\mathbb{Q})$ is trivial if $n$ is odd.
May 10, 2021
If $n>1$, are there $f_1,\dots,f_k\in\mathbb{Z}[x]$ of degree $n$ such that, for any prime $p$, some $f_i$ is irreducible and of degree $n$, mod $p$?
May 09, 2021
Prove that the Galois group $G = Gal(x^5-2; \mathbb{Q})$ is a group metacyclic.
May 09, 2021
Let $f(x)= x^3+ax^2+bx+c \in \mathbb{Q}[x]$. Show that the splitting field of $f$ over $\mathbb{Q}$ has degree 1, 2, 3 or 6 over $\mathbb{Q}$.
May 09, 2021
Showing $K(\sqrt \alpha)/F$ is Galois if and only if $\sigma(\alpha)/\alpha$ is a unit and a square.
May 09, 2021
Galois group of a degree 6 polynomial
May 09, 2021
Correct my intuition: every Galois group is $S_n$, and other obviously incorrect statements
May 09, 2021
Galois Group of $x^4 - 7$ over $\mathbb{F}_5$
May 09, 2021
Determine the Galois group of $x^3 + 3x^2 - 1$ over $\mathbb{Q}$
May 09, 2021
For a complex number $\alpha $ which is algebraic over $\Bbb Q$, determining whether $\bar{\alpha}\in \Bbb Q(\alpha)$ or not
May 09, 2021
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