automorphism

Considered as a ring, however, it has only the trivial automorphism.

In geometry, an automorphism may be called a motion of the space.

The full automorphism group of this hyperoval has order 3.

Let be an automorphism of which is the identity on .

One can easily check that conjugation by a is a group automorphism.

The group then acts as an automorphism group of the design.

The identity function on any partially ordered set is always an order automorphism.

A complex structure on a real vector space is given by an automorphism I with square 1.

Later their automorphism groups led to exceptional groups such as G2.

As a result, it gives a corresponding automorphism for every quotient group.

Thus ψ is a positive operator and an automorphism along with all its real powers.

The basefield has to have additional structure, such as a distinguished automorphism.

He also gave some complicated conditions satisfied by the automorphism σ.

Two projections are equivalent if there is an inner automorphism carrying one onto the other.

The basis transformation matrix can be regarded as an automorphism over V.

For instance, no vertical automorphism of is a general covariant transformation.

A distance-transitive graph is interesting partly because it has a large automorphism group.

Every countable model of T has an oligomorphic automorphism group.

In fact any automorphism of T will act on Ω.

It has complex conjugation as an outer automorphism and is simply connected.

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

Two involutions and are considered equivalent if they differ only by an inner automorphism.

More generally, one uses the term automorphism group.

Let K be a field with an involutive automorphism .

More formally an inner automorphism of a group G is a function: