Prove $C_m \times C_n$ is cyclic and is isomorphic to $C_{mn}$
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
57166
Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
62711
Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
68201
Cyclic group of order $n$
61513
Prove that all cyclic groups of the same order are isomorphic
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
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.
137739
Prove that the group isomorphism $\mathbb{Z}^m \cong \mathbb{Z}^n$ implies that $m = n$
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
107716
Show that $G$ is cyclic
81040
proof about commutative operators and T-cyclic vectors
63136
Prove $G$ is Abelian if $N$ is in the centre of $G$ and $G/N$ is cyclic
107163
Proof that $S_3$ isomorphic to $D_3$
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
73174
Prove $KN\cong K\times N$ if $K\cap N=\{e\}$