Automorphisms of Quaternion Group $Q$. Prove that $\operatorname{Aut}(Q)$ contains no element of order $6$, and so $\operatorname{Aut}(Q)\cong S_4 $
39866
Automorphism group of the quaternion group
23077
Prove that the dihedral group $D_4$ can not be written as a direct product of two groups
130826
Computing class group of $\mathbb Q(\sqrt{6})$
119758
On the order of elements of $\mathrm{GL}(2,q)$.
151559
Please help: How to show that Aut(G) is a subgroup of Sym(G)
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
7890
Prove the map $\Phi:G\to\operatorname{Aut}G$ with $g\mapsto (x\mapsto g^{-1}xg)$ is an homomorphism.
130683
Quaternion group associativity
98507
$\text{Aut}(F)$ is isomorphic to the multiplicative group of all $n\times n$ matrices over $\mathbb Z$
85018
When is the automorphism group of the Cayley graph of $G$ just $G$?
46260
Prove that a group generated by two elements of order $2$, $x$ and $y$, is isomorphic to $D_{2n}$, where $n = |xy|.$
141258
Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
118310
How to find $\operatorname{Gal}(S/\mathbb{Q})$
135710
Cyclic Automorphism group
4116
If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
155669
$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$