Klein four-group

Identity and double-transpositions of four objects form V

Other permutations of four objects, forming V as wellSee: 4 element subsets of S4

In mathematics, the Klein four-group (or just Klein group or Vierergruppe (English: four-group), often symbolized by the letter V or as K₄) is the group Z₂ × Z₂, the direct product of two copies of the cyclic group of order 2. It was named Vierergruppe by Felix Klein in 1884. The Klein group's Cayley table is given by:

单词	Klein group
释义	Klein group 英语百科 Klein four-group In mathematics, the Klein four-group (or just Klein group or Vierergruppe (English: four-group), often symbolized by the letter V or as K₄) is the group Z₂ × Z₂, the direct product of two copies of the cyclic group of order 2. It was named Vierergruppe by Felix Klein in 1884. The Klein group's Cayley table is given by:
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