automorphism group

Noun

 * 1)  The group of automorphisms of a given set or other mathematical object, with the group operation being function composition.

Usage notes

 * Especially in older literature, a subgroup of an automorphism group may be called a.
 * The automorphism group of a field extension $$L/K$$ may be denoted $$\mbox{Aut}(L/K)$$; it consists of all automorphisms of L which leave K fixed.