V 4

URI: https://gptkb.org/entity/V_4
GPTKB entity
Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:allElementsOrder 2
gptkbp:alsoKnownAs gptkb:Klein_four-group
gptkbp:automorphismGroup gptkb:S_3
gptkbp:centralTo gptkb:V_4
gptkbp:commutatorSubgroup gptkb:V_4
gptkbp:containsElement {e, a, b, ab}
gptkbp:cycle false
gptkbp:exponent 2
gptkbp:hasNormalSubgroup gptkb:S_4
gptkbp:hasSubgroup gptkb:S_4
gptkb:A_4
https://www.w3.org/2000/01/rdf-schema#label V 4
gptkbp:identityElement e
gptkbp:isDirectProductOf C2
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:C2_×_C2
gptkbp:namedAfter gptkb:Felix_Klein
gptkbp:numberOfRooms 4
gptkbp:order 4
gptkbp:presentedBy ⟨a, b | a^2 = b^2 = e, ab = ba⟩
gptkbp:structure gptkb:C2_×_C2
gptkbp:usedIn gptkb:geometry
gptkb:Galois_theory
abstract algebra
group theory
gptkbp:bfsParent gptkb:Klein_four-group
gptkbp:bfsLayer 5