How to prove isomorphic?
88645
Prove that the additive groups $\mathbb{R}$ and $\mathbb{Q}$ are not isomorphic.
60925
Why these are isomorphic each other for given these rings?
40400
Finding an isomorphism between $\mathbb{Z}[i]/(7)$ and $\mathbb{Z}[\sqrt{-2}]/(7)$
127491
Isometric isomorphism between $R^2$ and $R$
69361
How do you find the automorphism?
99382
What is needed to make Euclidean spaces isomorphic as groups?
120002
Prove universal morphism is unique up to unique isomorphism.
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
52556
Isomorphism of $S^1$.
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
148881
Aut(GxH) isomorphic to Aut(G)xAut(H)
107687
How to prove that $U_{2^n}$ is isomorphic as group to $\mathbb Z_2 \times \mathbb Z_{2^{n-2}}$ for $n \ge 3$?
151047
a non trivial example: $G/H$ is isomorphic to $G$
81238
Is $O(2)$ really not isomorphic to $SO(2)\times \{-1,1\}$?