Conjecture that the automorphism group of a non-cyclic group of prime power order is always bigger
From Groupprops
This article describes an open problem in the following area of/related to group theory: p-groups
Statement
Let be a prime and
be a non-cyclic
-group; in other words,
is a group of prime power order. The conjecture states that the order of the automorphism group
is at least equal to the order of
.