What are the automorphisms acting on $Q\sqrt[3]{2}$ that fixes Q?
4228
Prove that the only automorphism of $\mathbb{Q}(\sqrt[3]{2})$ is the identity automorphism.
44361
An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
36965
Automorphism of rational numbers
113671
Frobenius Automorphism as a linear map
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
64025
Ring homomorphisms from $\Bbb Q$ into a ring
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
45627
Find a sub-ring of M(2, $\mathbb{Q}$) which is isomorphic to $\mathbb{Q}$
121034
Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
13761
Automorphisms in $\mathbb{Z}_n$
12455
$|G|>2$ implies $G$ has non trivial automorphism