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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This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]
Definition with symbols
An automorphism of a group is termed an e-automorphism if given any -invariant subgroups , there exists an element such that .
Relation with other properties
- Algebraic automorphism: It is conjectured that every e-automorphism is algebraic.