Скачать с ютуб Klein's 4 Group order 4 || Composition table || Group order 4 || MathGalaxy в хорошем качестве

Klein's 4 Group order 4 || Composition table || Group order 4 || MathGalaxy

In mathematics, the Klein four-group is a group with four elements, in which each element is self-inverse (composing it with itself produces the identity) and in which composing any two of the three non-identity elements produces the third one. It can be described as the symmetry group of a non-square rectangle (with the three non-identity elements being horizontal and vertical reflection and 180-degree rotation), as the group of bitwise exclusive or operations on two-bit binary values, or more abstractly as Z2 × Z2, the direct product of two copies of the cyclic group of order 2. It was named Vierergruppe (meaning four-group) by Felix Klein in 1884. It is also called the Klein group, and is often symbolized by the letter V or as K4. The Klein four-group, with four elements, is the smallest group that is not a cyclic group. There is only one other group of order four, up to isomorphism, the cyclic group of order 4. Both are abelian groups. The smallest non-abelian group is the symmetric group of degree 3, which has order 6. Graph theory The simplest simple connected graph that admits the Klein four-group as its automorphism group is the diamond graph shown below. It is also the automorphism group of some other graphs that are simpler in the sense of having fewer entities. These include the graph with four vertices and one edge, which remains simple but loses connectivity, and the graph with two vertices connected to each other by two edges, which remains connected but loses simplicity. Thanks for Watching the video please share with your friends and family if you are new then SUBSCRIBE number of roots    • Видео   #mathgalaxy #klein4group #algebra #mathematics #maths #Youtubemath #Topology #Graphtheory #Geometry #Group ~-~~-~~~-~~-~ Please watch: "How to Solve this Crazy Equation. Ramanujan's radical brain teaser feat. MathGalaxy"    • How to Solve this Crazy Equation. Ram...   ~-~~-~~~-~~-~