Semiautomorphism of a group

This article defines a function property, viz a property of functions from a group to itself

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]

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Definition

Let $G$ be a group. A semiautomorphism of $G$ is a semihomomorphism of groups from $G$ to itself, which has an inverse that is also a semihomomorphism of groups. Equivalently, it is a bijective semihomomorphism of groups from $G$ to itself.

Relation with other properties

Stronger properties

• Automorphism of a group
• Antiautomorphism of a group

Weaker properties

• 1-automorphism of a group