GL(3, Z)

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
orthogonal group
gptkbp:actsOn Z^3
gptkbp:centralTo {I, -I} (I is the identity matrix)
gptkbp:contains gptkb:SL(3,_Z)
gptkbp:containsElement invertible 3x3 matrices with integer entries
gptkbp:determinantCondition determinant is ±1
gptkbp:fullName general linear group of degree 3 over the integers
gptkbp:hasSubgroup GL(3, Q)
https://www.w3.org/2000/01/rdf-schema#label GL(3, Z)
gptkbp:identityElement matrix inverse
3x3 identity matrix
gptkbp:operator matrix multiplication
gptkbp:order infinite
gptkbp:bfsParent gptkb:SL(3,_Z)
gptkbp:bfsLayer 7