An automorphism is an isomorphism from a set onto itself. An automorphism group of a group G is the group formed by the automorphisms of G (bijections from G to itself which preserve the multiplication). Similarly, one can consider the automorphism groups of other structures such as rings and graphs, by looking at bijections which preserve their mathematical structure.
Related category• GROUPS AND GROUP THEORY
Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact