Show that every finite extension of $F$ is cyclic.
36997
Galois Groups of Finite Extensions of Fixed Fields
2104
Finite group for which $|\{x:x^m=e\}|\leq m$ for all $m$ is cyclic.
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
115129
Constructing an explicit isomorphism between finite extensions of finite fields
33489
|f| is periodic implies f is periodic
7567
Degree of Field Extensions and $F(\alpha)$
152954
Extensions of finite cyclic groups
151928
How to prove that $N\setminus A$ is finite?
110808
Isomorphisms preserve cyclic
55492
Existence of $f'\in F$ such that $f^{[G:F]}=(f')^n$ for finite extension $F\subset G$
92430
Show that the group is cyclic.
104757
If $f \circ g$ is surjective, then f is surjective
151619
A finite abelian group containing a non-trivial subgroup which lies in every non-trivial subgroup is cyclic
17077
Prove or disprove: If $H$ and $G/H$ are cyclic, then $G$ is cyclic.
54729
Prove that $f$ has a fixed point .
6722
to show $f$ is a polynomial in $z$
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic