Example of infinite field $(F,+,.)$ such that $(F^*, . )$ is a cyclic group ?
21079
Why must a field whose a group of units is cyclic be finite?
111347
Finding an example of field extensions satisfying certain properties
76504
Non-trivial cyclic group with unique generator
73402
Showing that $(\mathbb{Z}/p^{a}\mathbb{Z})^*$ is a cyclic group
78913
In a finite field, is there ever a homomorphism from the additive group to the multiplicative group?
112909
is a number field by definition a subfield of $ \mathbb C $?
82328
Constructing a Galois extension field with Galois group $S_n$
112556
When is $F(\sqrt c)$ a field?
125568
Construction of $p^n$ field
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
92430
Show that the group is cyclic.
124150
Faithful representation implies group is cyclic
92298
The additive group $\mathbb{G}_a$ over an infinite field $k$ is not a topological group
67157
Example of an non-normal inseparable field extension
98474
Show the existence of a certain subgroup of F2