automorfismien
Automorfismen is a term that can refer to several related concepts depending on the field of study. In abstract algebra, an automorfismen is a specific type of isomorphism. An isomorphism is a bijective function between two algebraic structures of the same type that preserves the operations of those structures. An automorfismen, therefore, is an isomorphism from a structure to itself. For example, in the context of a group G, an automorfismen is a bijective map f: G -> G such that for any two elements a and b in G, f(ab) = f(a)f(b). The set of all automorfismens of a given structure forms a group under the operation of composition, known as the automorphism group.
In graph theory, an automorfismen of a graph is a permutation of its vertices that preserves adjacency.
The term can also appear in other areas of mathematics and computer science, often implying a self-mapping