New posts in Group Isomorphism

What does it mean when two Groups are isomorphic?

${\rm Aut}(G)$ is cyclic $\implies G$ is abelian

Does every automorphism of a permutation group preserve cycle structure?

Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$

If a group G is isomorphic to H, prove that Aut(G) is isomorphic to Aut(H)

$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$

Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$

Prove or disprove that $G_1/H_1 \cong G_2/H_2$

How is $Gal(\mathbb Q(\sqrt{2+\sqrt{2}})/\mathbb Q)\cong \mathbb Z/4\mathbb Z$?

Proof that $S_3$ isomorphic to $D_3$