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Klein four-group

In mathematics, the Klein four-group is an abelian 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…

Music, Presentations & Algebra

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Klein four-group

Nodes73
Edges72
Triples21
Avg. degree1.97
Density0.027397
Components1

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Klein four-group

Top relations

related to Algebra · 6
Klein four-group → According, Galois, In, Klein, Lagrange, Lodovico Ferrari
is a · 4
Klein four-group → abelian group with four elements, set, smallest non-cyclic group, symmetry group of a rhombus and of rectangles that are not squares
related to Graph theory · 4
Klein four-group → Among, It, Klein, These
related to Permutation representation · 3
Klein four-group → Klein, The, The Klein
related to Geometry · 2
Klein four-group → In, Klein
related to Presentations · 2
Klein four-group → Cayley, The Klein

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Important terminology

group klein four-group displaystyle also elements four identity two one abelian order three groups cyclic symmetry mathbb non-identity representation element

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Klein four-groupis aabelian group with four elements0.90text
Klein four-groupis asmallest non-cyclic group0.90text
Klein four-groupis aset0.90text
Klein four-groupis asymmetry group of a rhombus and of rectangles that are not squares0.90text
Klein four-grouprelated to AlgebraAccording0.60section
Klein four-grouprelated to AlgebraGalois0.60section
Klein four-grouprelated to AlgebraKlein0.60section
Klein four-grouprelated to AlgebraLodovico Ferrari0.60section
Klein four-grouprelated to AlgebraLagrange0.60section
Klein four-grouprelated to AlgebraIn0.60section
Klein four-grouprelated to GeometryIn0.60section
Klein four-grouprelated to GeometryKlein0.60section

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