automorphisms's Usage Examples:

In mathematics, the automorphism group of an object X is the group consisting of automorphisms of X.

Most fundamentally, this involves the study of one-parameter automorphisms of the algebra.

In fact, each subfield contains only a single one of the roots \alpha_1,\alpha_2,\alpha_3, so none has any non-trivial automorphisms.

rigidify A heuristic term, roughly equivalent to "killing automorphisms".

mathematics, the automorphism group of an object X is the group consisting of automorphisms of X.

Most fundamentally, this involves the study of one-parameter automorphisms of the algebra of all bounded operators on the Hilbert space of observables.

The composition of two automorphisms is another.

the inner automorphisms.

precisely 84(g − 1) automorphisms, where g is the genus of the surface.

The Cremona group, the group of birational automorphisms of the plane, is generated by blowups.

It is frequently the case that antiautomorphisms are involutions, i.

The set of all automorphisms is a subset of End(X) with a group structure, called the automorphism.

For any intermediate field K of E/F, the corresponding subgroup is Aut(E/K), that is, the set of those automorphisms in Gal(E/F) which fix every element of K.