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 plane is a conformal self-map (Krantz 1999, p. 81).
See alsoAnosov Automorphism,
Field Automorphism,
Graph Automorphism,
Automorphism Group Explore with Wolfram|Alpha ReferencesKrantz, 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. Referenced on Wolfram|AlphaAutomorphism Cite this as:Weisstein, Eric W. "Automorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Automorphism.html
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