# E-automorphism

From Groupprops

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

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

### 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.