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Automorphic subgroups
From Groupprops
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This article defines an equivalence relation over the collection of subgroups within the same big group
Definition
Symbol-free definitions
Two subgroups of a group are automorphs or automorphic subgroups if there is an automorphism of the whole group that maps one of the subgroups isomorphically to the other one.
Relation with other equivalence relations
Stronger relations
- Equal subgroups
- Isomorphic subgroups
Weaker relations
