# Complete map

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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

A **complete map** from a group to itself is a bijection such that the map is also a bijection.

Note that if is an automorphism of , the map is a complete map if and only if is a fixed-point-free automorphism.