# Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group of the object.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

automorphism | 4 | 178 | 0.6 |

object | 5 | 11737 | 0.446 |

automorphisms | 2 | 104 | 0.316 |

symmetry | 2 | 1873 | 0.232 |