- transitive automorphism
- мат. транзитивный автоморфизм
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Graph automorphism — In graph theoretical mathematics, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge vertex connectivity.Formally, an automorphism of a graph G = ( V , E ) is a permutation sigma;… … Wikipedia
Distance-transitive graph — The Biggs Smith graph, the largest 3 regular distance transitive graph. Graph families defined by their automorphisms distance transitive … Wikipedia
Vertex-transitive graph — In mathematics, a vertex transitive graph is a graph G such that, given any two vertices v1 and v2 of G , there is some automorphism : f : V(G) → V(G) such that : f (v1) = v2. In other words, a graph is vertex transitive if its automorphism group … Wikipedia
Edge-transitive graph — In mathematics, an edge transitive graph is a graph G such that, given any two edges e 1 and e 2 of G , there is an automorphism of G that maps e 1 to e 2.In other words, a graph is edge transitive if its automorphism group acts transitively upon … Wikipedia
Arc-transitive graph — In mathematics, an arc transitive graph is a graph G such that, given any two edges e 1 = u 1 v 1 and e 2 = u 2 v 2 of G , there are two automorphisms : f : G → G , g : G → G such that : f (e1) = e2, g (e1) = e2and : f ( u 1) = u 2, f ( v 1) = v… … Wikipedia
Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… … Wikipedia
Cyclic order — In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… … Wikipedia
Mathieu group — Group theory Group theory … Wikipedia
Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 … Wikipedia
List of finite simple groups — In mathematics, the classification of finite simple groups states thatevery finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type),or… … Wikipedia
Automorphisms of the symmetric and alternating groups — In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own right, particularly the… … Wikipedia