Proving the existence and uniqueness of a cyclic group of $G$ (Group Theory)
41105
Finding the perimeter of a right triangle with area given
94239
Proof that if group $G/Z(G)$ is cyclic, then $G$ is commutative
90081
problems in group theory
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
144065
Proving $\phi(G)$ is cyclic if $\phi$ : $G \to H$ is group homomorphism and $G$ is cyclic
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
29717
Not sure how to go about this group theory proof
152071
Group $G$ is cyclic $\iff$ every subgroup of $G$ has the form $G^k$, where $G^k=\{g^k\mid g\in G\}$
36887
Suppose $G$ is a group of order 4. Show either $G$ is cyclic or $x^2=e$.
86336
For $G$ group and $H$ subgroup of finite index, prove that $N \subset H$ normal subgroup of $G$ of finite index exists
114221
A Group $G$ is soluble $\iff G^{(k)}=\{e\}$ for some $k$
158074
Cyclic group $G$ with generator $ab$.
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
151699
Group of inner automorphisms of a group $G$
71420
Prove that a group is abelian.
38853
Cyclic group of prime order
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order