Are the two groups isomorphic?
15276
$G \times H \cong G \times K$ , then $ K \cong H$
116168
Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
73113
Groups and Symmetries
99382
What is needed to make Euclidean spaces isomorphic as groups?
58707
Prove Quotient Group Isomorphism
47617
Are groups with all the same Hom sets already isomorphic?
5996
Are $(\mathbb{R},+)$ and $(\mathbb{C},+)$ isomorphic as additive groups?
28576
Galois Groups are isomorphic to subgroups of symmetric groups.
151047
a non trivial example: $G/H$ is isomorphic to $G$
96047
Why are two universal objects isomorphic?
150204
Isomorphisms between the groups $U(10), U(5)$ and $\mathbb{Z}/4\mathbb{Z}$
115849
Are the Groups having all subgroups of same order conjugate classified?
67374
Is it true that $\mathbb{R}$ and $\mathbb{R}^2$ are isomorphic as abelian groups?
37904
Prove that the multiplicative groups $\mathbb{R} - \{0\}$ and $\mathbb{C} - \{0\}$ are not isomorphic.
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$