Class-inner automorphism

Symbol-free definition
An automorphism of a group is said to be class-inner if, given any conjugacy class in the group:


 * The automorphism maps the conjugacy class to itself
 * There exists an inner automorphism of the whole group, whose restriction to that conjugacy class is the same as the restriction of the given automorphism

Stronger properties

 * Inner automorphism

Weaker properties

 * Class automorphism