High Quality Content by WIKIPEDIA articles! In mathematics, the Klein four-group (or just Klein group or Vierergruppe, often symbolized by the letter V) is the group Z2 x Z2, the direct product of two copies of the cyclic group of order 2. It was named Vierergruppe by Felix Klein in his Vorlesungen uber das Ikosaeder und die Auflosung der Gleichungen vom funften Grade in 1884. The Klein four-group is the smallest non-cyclic group. The only other group with four elements, up to isomorphism, is Z4, the cyclic group of order four.

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