Show that Aut(Q) is isomorphic to S4
39866
Automorphism group of the quaternion group
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
136167
Prove that structure $(Q/{0}; =;*)$ has infinite number of automorphisms
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
129157
An exercise on isomorphic groups of order 24
11665
Show that $D_{12}$ is isomorphic to $D_6\times C_2$
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
152603
Group isomorphic to its automorphism group
77969
Question about proof for $S_4 \cong V_4 \rtimes S_3$
145462
On the canonical isomorphism between $V$ and $V^{**}$
36137
Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
7890
Prove the map $\Phi:G\to\operatorname{Aut}G$ with $g\mapsto (x\mapsto g^{-1}xg)$ is an homomorphism.