$D_6 \cong D_3\times \mathbb Z_2$
6453
Let $n \geq 1$ be an odd integer. Show that $D_{2n}\cong \mathbb{Z}_2 \times D_n$.
147968
Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$
58033
$G\times H\cong G$ with $H$ non-trivial
78564
Prove: $D_{8n} \not\cong D_{4n} \times Z_2$.
53327
$C_2 \times C_2$ and $C_4$
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
33338
Problem on $\operatorname{Hom}(\mathbb Z_6,R^*\oplus C^*)$
88304
Center of $D_6$ is $\mathbb{Z}_2$
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
53266
Show that $R/I\otimes_R R/J\cong R/(I+J)$
71245
$2 \times 2 $ Orthogonal Group
1712
$ d_1,d_2\mid n\iff {\rm lcm}(d_1,d_2)\mid n\ $ [LCM Universal Property]
102429
There are 2 groups of order 6 (up to isomorphism)
26749
$\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
149578
Subgroups of $(\mathbb Z_n,+)$