Universal power 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 with symbols
An automorphism of a group is termed a universal power automorphism if there exists an integer such that for all .
Relation with other properties
- Power automorphism: For proof of the implication, refer Universal power automorphism implies power automorphism and for proof of its strictness (i.e. the reverse implication being false) refer Power automorphism not implies universal power automorphism.