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What is an automorphism?

What is an automorphism? Here are some definitions.

Noun
  1. (algebra) An isomorphism of a mathematical object or system of objects onto itself.
  2. The ascription to others of one's own characteristics.
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Examples
Because of automorphism of iconicity, it is quite plausible that there are many polysemous words.
There are 31 non-isomorphic configurations and this puzzle is the first found of type whose automorphism group is trivial.
A BA with only the identity automorphism is called rigid.
This is because there are examples of smooth surfaces of general type with nonreduced automorphism scheme.
In the case of a finite automorphism group of the whole space, its order is the order of the symmetry group of the figure multiplied by the number of isomorphic versions of the figure.
He has authored more than sixty published journal articles on infinite group theory, formation theory and Fitting classes, wreath products, and automorphism groups.

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