PGL(n,q)

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn projective space of dimension n-1 over finite field of order q
gptkbp:category gptkb:group_of_people
gptkb:Lie_group
projective group
gptkbp:contains gptkb:PSL(n,q)
gptkbp:definedIn finite field of order q
gptkbp:fullName Projective General Linear Group
https://www.w3.org/2000/01/rdf-schema#label PGL(n,q)
gptkbp:isQuotientOf gptkb:GL(n,q)
center of GL(n,q)
gptkbp:isSimple false
gptkbp:notation gptkb:PGL(n,q)
gptkbp:order (q^n-1)(q^n-q)...(q^n-q^{n-1})/(q-1)
gptkbp:relatedGroup projective transformations
gptkbp:relatedTo gptkb:PSL(n,q)
gptkbp:bfsParent gptkb:PSL(n,q)
gptkbp:bfsLayer 6