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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 Matrices, and that of a Field the Addition and Multiplication tables.

See also Outer Automorphism Group

© 1996-9 Eric W. Weisstein