TOPICS
Search

Automorphism Group


The group of functions from an object G to itself which preserve the structure of the object, denoted Aut(G). The automorphism group of a group preserves the multiplication table, the automorphism group of a graph the incidence matrix, and that of a field the addition and multiplication tables.

The automorphism group of a graph g can be computed in the Wolfram Language using GraphAutomorphismGroup[g].


See also

Automorphism, Edge Automorphism Group, Edge-Transitive Graph, Frucht's Theorem, Graph Automorphism, Vertex-Transitive Graph

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Automorphism Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AutomorphismGroup.html

Subject classifications