GL(3,Z)

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn Z^3
gptkbp:application gptkb:algebraic_K-theory
crystallography
modular forms
lattice theory
gptkbp:centralTo {I, -I} (I: identity matrix)
gptkbp:containsElement invertible 3x3 matrices with integer entries
gptkbp:determinantCondition determinant is ±1
gptkbp:fullName General Linear Group of 3x3 invertible integer matrices
gptkbp:hasSubgroup gptkb:SL(3,Z)
GL(3,R)
https://www.w3.org/2000/01/rdf-schema#label GL(3,Z)
gptkbp:identityElement matrix inverse
3x3 identity matrix
gptkbp:notation GL_3(Z)
gptkbp:order infinite
gptkbp:relatedGroup matrix multiplication
gptkbp:bfsParent gptkb:SL(3,Z)
gptkbp:bfsLayer 6