Subnormal subgroup-preserving 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)
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Definition

Symbol-free definition

An automorphism of a group is said to be subnormal subgroup-preserving if, under its action, every subnormal subgroup of the group gets mapped to itself.

References

• Automorphisms fixing every subnormal subgroup of a finite group by Derek J.S. Robinson, ?