# Function property

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]

## Contents

## Definition

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.