Content-Type: text/html Wikipedia: 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

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

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