An automorphism of a finite group which sends more than three quarters of elements to their inverses
59128
If $|\lbrace g \in G: \pi (g)=g^{-1} \rbrace|>\frac{3|G|}{4}$, then $G$ is an abelian group.
115129
Constructing an explicit isomorphism between finite extensions of finite fields
131516
Subgroup generated by n-th powers of elements
73382
A concrete example of involution in group theory
152603
Group isomorphic to its automorphism group
145159
Finite group is abelian if the representatives of its conjugacy classes commute
3462
Proving a set of automorphisms of a group is a group under composition
114811
Characteristic subgroups and automorphisms
55432
Infinite distinct factorizations into irreducibles for an element
83654
Order of an element in a finite cyclic group
126513
Automorphism of the group of rational numbers under addition
31421
Transpose inverse automorphism is not inner
114320
Showing that if the center of a group is trivial, then the center of its automorphism group is trivial
156319
Show that a group with $|G| = 33$ contains an element of order $3$
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
135710
Cyclic Automorphism group
113671
Frobenius Automorphism as a linear map