If $G$ is a cyclic group of order $d$ with generator $a$, show that $\dfrac{\mathbb{Z}}{d\mathbb{Z}}$ is isomorphic $G$.
90437
Let $G = \langle a\rangle$ a cyclic group of order m. Prove that G is isomorphic with $Z_m$.
11665
Show that $D_{12}$ is isomorphic to $D_6\times C_2$
76446
Why are cyclic groups of order $p$ (prime) unique up to isomorphism?
58707
Prove Quotient Group Isomorphism
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
132280
Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
120155
How to show that this group presentation is isomorphic to dihedral group?
99032
Prove that the additive group of $\mathbb{Z}[x]$ is isomorphic to the group of positive rational numbers under multiplication.
4648
Proving that $\mathbb{Z}_m\oplus \mathbb{Z}_n \cong \mathbb{Z}_d\oplus \mathbb{Z}_l $ as groups, where $l=\mathrm{lcm}(m,n)$ and $d=\gcd(m,n)$
151025
If G is a group of order n=35, then it is cyclic
128899
How to find all generators for a cyclic group of order $n$?
114187
In a finite cyclic group, the generator has the order of the group
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
108213
$N_1,N_2,N_3 \unlhd G, N_i\cap N_j =\{e\}, G = N_iN_j$. Want to show that $G$ is abelian, $N_i$ are isomorphic.
147517
Any group of order $n$ satisfying $\gcd (n, \varphi(n)) =1$ is cyclic
94090
How to show that for any abelian group $G$, $\text{Hom}(\mathbb{Z},G)$ is isomorphic to $G$
107687
How to prove that $U_{2^n}$ is isomorphic as group to $\mathbb Z_2 \times \mathbb Z_{2^{n-2}}$ for $n \ge 3$?