Automorphism-faithful AEP-subgroup
From Groupprops
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: automorphism-faithful subgroup and AEP-subgroup
View other subgroup property conjunctions | view all subgroup properties
Definition
A subgroup of a group
is termed an automorphism-faithful AEP-subgroup if for every automorphism of
, there is a unique automorphism of
whose restriction to
is that particular automorphism.