generated group as a multiplicative and additive group
58076
Subgroup generated by a set
45947
Find generator of multiplicative group of $\mathbb{F}_{27}$
122353
Status of the classification of non-finitely generated abelian groups.
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
96680
Generators of symmetric group $S_n$
85222
Direct sum of finitely-many non-abelian groups
76504
Non-trivial cyclic group with unique generator
117178
Cyclic group generators
78913
In a finite field, is there ever a homomorphism from the additive group to the multiplicative group?
5599
Proving an inclusion for the derived group
102912
Subgroups of finitely generated groups are not necessarily finitely generated
126590
Why is the multiplicative group of a finite field cyclic?
31380
Exponent and abelian groups
126513
Automorphism of the group of rational numbers under addition
71245
$2 \times 2 $ Orthogonal Group
58397
Every cyclic group with order > 2 has at least 2 distinct generators
8742
Examples and further results about the order of the product of two elements in a group