Finite Groups With Exactly Two Automorphisms
34606
Which groups have precisely two automorphisms
97865
On Conjugacy Classes of Alternating Group $A_n$
142938
Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$
151699
Group of inner automorphisms of a group $G$
139835
Every Finite Group is Isomorphic to a Subgroup of $A_n$
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
111049
Groups with given automorphism groups
114590
Prove that any finite group $G$ of even order contains an element of order $2.$
152603
Group isomorphic to its automorphism group
141124
Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
129830
A group with no proper non-trivial subgroups
65613
$G$ is a finite group and $T$ an automorphism of $G$ such that $T$ sends more than $\frac{3}{4}|G|$ elements to their inverse.
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
41688
An elementary problem in Group Theory: the unique noncyclic group of order 4
114811
Characteristic subgroups and automorphisms
129452
Groups $G,H$ with surjective homomorphisms that are quotient of each other
67554
In a group, the number of non-self-inverse elements is even