Groupprops, The Group Properties Wiki (pre-alpha)
Take a short survey about Math Resources on the Internet.

From Groupprops

Contents 1 Definition 2 Relation with other properties 2.1 Stronger properties

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

For its use outside the wiki, please define the term when using it. If you are aware of an equivalent standard term, please leave a comment on the talk page
VIEW:
VIEW RELATED:
Learn more about terminology local to the wiki | view a complete list of such terminology

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 σ of a group G is termed a weakly normal automorphism if, for every normal subgroup N of G, .

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