E-automorphism

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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

Definition with symbols

An automorphism \sigma of a group G is termed an e-automorphism if given any \sigma-invariant subgroups A < B, there exists an element x \in B \setminus A such that x^{-1}\sigma(x) \in A.

Relation with other properties