Weakly normal automorphism
From Groupprops
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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
Definition
An automorphism of a group
is termed a weakly normal automorphism if, for every normal subgroup
of
,
.
Relation with other properties
Stronger properties
- Inner automorphism
- Normal automorphism: A normal automorphism is a weakly normal automorphism whose inverse is also weakly normal.
- Uniform power automorphism
- Power automorphism
- Class-preserving automorphism
- Subgroup-conjugating automorphism
- Strong monomial automorphism
- Monomial automorphism