Definition of Automorphism. Meaning of Automorphism. Synonyms of Automorphism

Here you will find one or more explanations in English for the word Automorphism. Also in the bottom left of the page several parts of wikipedia pages related to the word Automorphism and, of course, Automorphism synonyms and on the right images related to the word Automorphism.

Definition of Automorphism

Automorphism
Automorphism Au`to*mor"phism, n. Automorphic characterization. --H. Spenser.

Meaning of Automorphism from wikipedia

- nontrivial automorphism: negation. Considered as a ring, however, it has only the trivial automorphism. Generally speaking, negation is an automorphism of any...
- In abstract algebra an inner automorphism is an automorphism of a group, ring, or algebra given by the conjugation action of a fixed element, called the...
- an automorphism group is also called a symmetry group. A subgroup of an automorphism group is sometimes called a transformation group. Automorphism groups...
- up to an element of S6 (an inner automorphism)) yields an outer automorphism S6 → S6. This map is an outer automorphism, since a transposition does not...
- can be represented as the automorphism group of a connected graph – indeed, of a cubic graph. Constructing the automorphism group is at least as difficult...
- theory, a class automorphism is an automorphism of a group that sends each element to within its conjugacy class. The class automorphisms form a subgroup...
- Z7{\displaystyle \mathbb {Z} _{7}} by 3, modulo 7, is an automorphism of order 6 in the automorphism group, because 36≡1(mod7),{\displaystyle 3^{6}\equiv...
- In mathematics, the outer automorphism group of a group, G, is the quotient, Aut(G) / Inn(G), where Aut(G) is the automorphism group of G and Inn(G) is...
- subgroup. An IA automorphism is thus an automorphism that sends each coset of the commutator subgroup to itself. The IA automorphisms of a group form...
- mathematics, a Kolmogorov automorphism, K-automorphism, K-shift or K-system is an invertible, measure-preserving automorphism defined on a standard probability...