automorphism
/ˌɔːtoʊˈmɔːrfɪzəm/
noun
- In mathematics, a transformation of a mathematical object onto itself that preserves its structure (e.g., a symmetry of a graph, a group, or a geometric shape).
- A square has eight automorphisms, including rotations and reflections.
- The study of automorphisms helps mathematicians understand the symmetries of algebraic structures.
- Every group has at least one automorphism, called the identity automorphism.