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# Automorphism

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An automorphism is a structure-preserving bijection of a mathematical object into itself, that is, an isomorphism between the object and itself.

The set of automorphisms of an object forms a group with [function composition]? as the group operation.

When it is possible to build transformation of an object by selecting one of its elements and applying operations to the object, one can separate

- inner automorphisms
- outer automorphisms

The latter being transformations for which there is no correspondance with an element of the object.

/Talk

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Last edited July 22, 2001 2:55 pm (diff)
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