Automorphism (original) (raw)
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An automorphism is an isomorphism of a system of objects onto itself. The term derives from the Greek prefix 
(auto) "self" and 
(morphosis) "to form" or "to shape."
The automorphisms of a graph always describe a group (Skiena 1990, p. 19).
An automorphism of a region of the complex planeis a conformal self-map (Krantz 1999, p. 81).
See also
Anosov Automorphism, Field Automorphism, Graph Automorphism, Automorphism Group
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References
Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 81, 1999.Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.
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Cite this as:
Weisstein, Eric W. "Automorphism." FromMathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Automorphism.html