This article is about a general term. A list of important particular cases (instances) is available at Category:Function properties
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
A function property is a map from the collection of all possible functions from a group to itself, to the two-element set (true, false). A function which gets mapped to true is said to have the function property, and a function which gets mapped to false is said to not have the function property.
The function property must satisfy isomorphism-invariance: if and are functions, and there is an isomorphism such that , then satisfies the function property iff satisfies the function property.