If G is cyclic then Is Aut (G) cyclic
58014
Prove or disprove: The automorphism group of a finite cyclic group must be cyclic.
23579
If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$
127306
Is the group of units of a finite ring cyclic?
58654
If $|A| > \frac{|G|}{2} $ then $AA = G $
68733
If $G/Z(G)$ is cyclic then $G$ is abelian – what is the point?
1558
Number of homomorphisms between two cyclic groups.
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
104460
When a group is cyclic
90437
Let $G = \langle a\rangle$ a cyclic group of order m. Prove that G is isomorphic with $Z_m$.
124150
Faithful representation implies group is cyclic
110808
Isomorphisms preserve cyclic
65900
Show that a finite group with certain automorphism is abelian
57464
If $G$ is a group show that if $(a \cdot b)^2 = a^2 \cdot b^2$ then $G$ must be abelian.
131706
Is my proof that $U_{pq}$ is not cyclic if $p$ and $q$ are distinct odd primes correct?
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
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$