Klein four-group
direct product of two cyclic groups of order two; smallest group that is non-cyclic
Press Enter · cited answer in seconds
0 sources
Klein four-group
Summary
Klein four-group is a finite abelian group[1]. It draws 142 Wikipedia views per month (finite_abelian_group category, ranking #1 of 1).[2]
Key Facts
- Klein four-group's image is recorded as Cayley table Klein four-group RK01.svg[3].
- Klein four-group's instance of is recorded as finite abelian group[4].
- Klein four-group's instance of is recorded as dihedral group[5].
- Klein four-group's instance of is recorded as mathematical concept[6].
- Felix Klein is named after Klein four-group[7].
- Klein four-group's Commons category is recorded as Klein four-group[8].
- Klein four-group's Freebase ID is recorded as /m/0bjhh[9].
- Klein four-group's group cardinality is recorded as {'amount': '+4'}[10].
- Klein four-group's defining formula is recorded as \mathrm{V} = \langle a,b \mid a^2 = b^2 = (ab)^2 = e \rangle[11].
- Klein four-group's studied by is recorded as group theory[12].
- Klein four-group's MathWorld ID is recorded as Vierergruppe[13].
- Klein four-group's MathWorld ID is recorded as FiniteGroupC2xC2[14].
- Klein four-group's MathWorld ID is recorded as KleinFour-Group[15].
- Klein four-group's nLab ID is recorded as Klein four-group[16].
- Klein four-group's maintained by WikiProject is recorded as WikiProject Mathematics[17].
- Klein four-group's Microsoft Academic ID is recorded as 70514976[18].
- Klein four-group's ProofWiki ID is recorded as Definition:Klein_Four-Group[19].
- Klein four-group's PlanetMath ID is recorded as Klein4group[20].
- Klein four-group's Lex ID is recorded as Kleins_firegruppe[21].
- Klein four-group's Group Properties article ID is recorded as Klein_four-group[22].
- Klein four-group's SmallGroup ID is recorded as 4,2[23].
- Klein four-group's Treccani's Enciclopedia della Matematica ID is recorded as gruppo-di-klein[24].
Why It Matters
Klein four-group draws 142 Wikipedia views per month (finite_abelian_group category, ranking #1 of 1).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[25] It is known by 15 alternative names across languages and contexts.[26]