Finite complete group
From Groupprops
This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
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Definition
A finite complete group is a finite group that is also a complete group: it satisfies the following two conditions:
- It is a centerless group: its center is trivial.
- It is a group in which every automorphism is inner.
In other words, a finite complete group is a finite group such that the natural map
is an isomorphism.