Showing that a non-abelian group of order $21$ has an outer automorphism.
111168
Automorphisms of a finite non-abelian group
46263
Automorphisms of infinite abelian groups
130745
Action of finite group of automorphisms on Spec A
13631
Showing group with $p^2$ elements is Abelian
85011
Prove that $\exists a,g,h\in G\colon h=aga^{-1}, g\neq h ,gh=hg$ in a finite non-abelian group $G$.
136167
Prove that structure $(Q/{0}; =;*)$ has infinite number of automorphisms
117815
Non-abelian group $G$ satisfying $(a \cdot b)^i=a^i \cdot b^i,$ for two consecutive integers.
78048
Group of order 24 with no element of order 6 is isomorphic to $S_4$
44361
An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
65900
Show that a finite group with certain automorphism is abelian
32620
Is every group of order $21$ cyclic?
7575
Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
33593
An example of a non-abelian group $G$ where, for all $a,b\in G$, the equality $(ab)^{n}=a^{n}b^{n}$ holds for two consecutive integers $n$
11113
Group With an Endomorphism That is "Almost" Abelian is Abelian.
126513
Automorphism of the group of rational numbers under addition
3829
Number of automorphisms of a direct product of two cyclic $p$-groups
111049
Groups with given automorphism groups