PGL(2n,q)

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn projective space of dimension 2n-1 over finite field of order q
gptkbp:contains PSL(2n,q)
gptkbp:definedIn finite field of order q
gptkbp:degree 2n
gptkbp:fullName Projective General Linear Group of degree 2n over finite field of order q
https://www.w3.org/2000/01/rdf-schema#label PGL(2n,q)
gptkbp:isFinite true
gptkbp:isMatrixGroup true
gptkbp:isProjectiveGroup true
gptkbp:isQuotientOf gptkb:GL(2n,q)
center of GL(2n,q)
gptkbp:isSimple false
gptkbp:order (q^{2n}-1)(q^{2n}-q)...(q^{2n}-q^{2n-1})/(q-1)
gptkbp:bfsParent gptkb:PSp(2n,q)
gptkbp:bfsLayer 6