# Small exercice about finite groups

Posted by Mathoman, Sunday 30 October 2011 at 12:01 - Maths for mathematicians

The theory of finite groups is full of little, weird exercises. Here is one of them. It seems quite simple... Try it out!

Is it true that every automorphism of a finite group, which sends at least half of the elements of the group to their inverses, is an involution?

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