Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
115876
$D_6 \cong D_3\times \mathbb Z_2$
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
124438
Find $|(\mathbb{Z} \oplus \mathbb{Z}) / \langle(3,6)\rangle|$ and determine if its cyclic
83919
How to show $D_3\oplus D_4$ is not isomorphic to $D_{24}$?
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
72478
What is the isomorphism between the fields $(Z_2[x]^{<3},+_{x^3+x^2+1},\times_{x^3+x^2+1})$ and $(Z_2[x]^{<3},+_{x^3+x+1},\times_{x^3+x+1})$?
98284
show $\Bbb Z_6 \cong \Bbb Z_3 \times \Bbb Z_2 $.
64130
Prove that $\mathbb{Q}^{\times}$ not isomorphic to $\mathbb{Z}^{n}$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
6453
Let $n \geq 1$ be an odd integer. Show that $D_{2n}\cong \mathbb{Z}_2 \times D_n$.
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
75068
subgroups of $\mathbb Z / 2 \mathbb Z \times \mathbb Z / 2 \mathbb Z$
71262
Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
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.
13606
Prove that $K$ is isomorphic to a subfield of the ring of $n\times n$ matrices over $F$.
152306
Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.