Isomorphism $f:\mathbb{Z}/17\mathbb{Z}\times \mathbb{Z}/561\mathbb{Z} \to \mathbb{Z}/51\mathbb{Z}\times \mathbb{Z}/187\mathbb{Z}$
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 $d=\gcd(m,n)$
19346
Isomorphism of affine varieties
67199
Isomorphism $H_n(D^n, S^{n - 1};A)$ and $A$
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
137285
Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
81197
Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?
72478
What is the isomorphism between the fields $(Z_2[x]^{<3},+_{x^3+x^2+1},\times_{x^3+x^2+1})$ and $(Z_2[x]^{<3},+_{x^3+x+1},\times_{x^3+x+1})$?
154754
Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
45991
Why $f\colon \mathbb{Z}_n^\times \to \mathbb{Z}_m^\times$ is surjective?
150204
Isomorphisms between the groups $U(10), U(5)$ and $\mathbb{Z}/4\mathbb{Z}$
140557
Counting ring homomorphisms from $\mathbb{Z}[x,y]/(x^3+y^2-1)$ to $\mathbb{Z_7}$
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
114394
Determine whether $\mathbb{Z}\times \mathbb{Z}$ and $\mathbb{Z}\times \mathbb{Z}\times \mathbb{Z}$ are isomorphic groups or not.