To find $|Aut(K_{4})| = |Aut(\mathbb{Z}_{2} \times \mathbb{Z}_{2})|$
121034
Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
18018
Proving that $4 \mid m - n$ is an equivalence relation on $\mathbb{Z}$
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
120183
Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
97258
Give $\ker(\phi)$ for $\phi: \mathbb{Z} \to \mathbb{Z_7}$ such that $\phi(1)=4$
105363
$\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
46147
Proving $(\forall a\in\mathbb{Z^+})(m\in\mathbb{Z^+}\to a^m\equiv a^{m-\phi(m)}\pmod{m})$
76685
Determine $\text{Aut}(S)$ where $S = \mathbb{Q}[x]/(x^2)$
39231
Construct a bijection between $\mathbb{Z}^+\times \mathbb{Z}^+$ and $\mathbb{Z}^+$
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
53327
$C_2 \times C_2$ and $C_4$
135808
Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
141683
$ |G_1 |$ and $|G_2 | $ are coprime. Show that $K = H_1 \times H_2$