Show that $\mathfrak{so}(4)\cong \mathfrak{so}(3)\oplus \mathfrak{so}(3)$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
135808
Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
132856
Find the derived subgroup of $A_4$
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
71245
$2 \times 2 $ Orthogonal Group
8374
How to prove that $R/I \otimes_R M \cong M / IM$
37677
Radical of $\mathfrak{gl}_n$
139595
Show that $(l_1)^* \cong l_{\infty}$
115876
$D_6 \cong D_3\times \mathbb Z_2$
128096
Let V denote the Klein 4-group. Show that $\text{Aut} (V)$ is isomorphic to $S_3$
81197
Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?
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 $d=\gcd(m,n)$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
55902
Show $R[x]/(x)\cong R$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
11731
Normal subgroups of $S_4$