Klein four-group (Q3118): Difference between revisions

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direct product of two cyclic groups of order two; smallest group that is non-cyclic
  • Z2×Z2
  • Dih2
  • vierergruppe
  • Klein group
  • V4
  • C2×C2
  • dihedral group of order 4
Language Label Description Also known as
English
Klein four-group
direct product of two cyclic groups of order two; smallest group that is non-cyclic
  • Z2×Z2
  • Dih2
  • vierergruppe
  • Klein group
  • V4
  • C2×C2
  • dihedral group of order 4

Statements

group cardinality
4
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named after
Felix Klein
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instance of
finite abelian group
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dihedral group
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studied in
group theory
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defining formula
V=⟨a,b∣a2=b2=(ab)2=e⟩
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Commons category
Klein four-group
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Identifiers

Freebase ID
/m/0bjhh
1 reference
stated in
Freebase Data Dumps
publication date
28 October 2013
MathWorld ID
FiniteGroupC2xC2
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KleinFour-Group
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Microsoft Academic ID
70514976
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Group Properties article ID
Klein_four-group
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nLab ID
Klein four-group
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SmallGroup ID
4,2
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Den Store Danske ID
Kleins_firegruppe
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ProofWiki ID
Definition:Klein_Four-Group
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PlanetMath ID
Klein4group
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Wikidata QID
Q550593
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