Class-inner automorphism
This article defines an automorphism property, viz a property of group automorphisms. Hence, it also defines a function property (property of functions from a group to itself)
View other automorphism properties OR View other function properties
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
Definition
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