GL(1,R)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:centralTo gptkb:GL(1,R)
gptkbp:component gptkb:Z/2Z
gptkbp:connectedComponents 2
gptkbp:containsElement nonzero real numbers
gptkbp:defines group of all invertible 1x1 real matrices
gptkbp:determinant isomorphism to R*
gptkbp:dimensions 1
gptkbp:fullName general linear group of degree 1 over the real numbers
gptkbp:hasSubgroup GL(n,R) for n ≥ 1
https://www.w3.org/2000/01/rdf-schema#label GL(1,R)
gptkbp:identityElement 1
multiplicative inverse
gptkbp:isomorphicTo R*
gptkbp:notation GL_1(R)
gptkbp:operator matrix multiplication
gptkbp:realPoints nonzero real numbers
gptkbp:relatedGroup gptkb:group_of_people
gptkb:Lie_group
abelian group
gptkbp:relatedTo multiplicative group of real numbers
gptkbp:bfsParent gptkb:GL(1,C)
gptkbp:bfsLayer 7