Group in which every element is order-automorphic
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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A group in which every element is order-automorphic is a group such that, whenever two elements have the same order, there is an automorphism of the group sending the first element to the second element.
Relation with other properties
- Group whose automorphism group is transitive on non-identity elements
- Group in which every element is order-conjugate