Editing General linear group (section)

=== Projective linear group ===
{{main article|Projective linear group}}
The [[projective linear group]] <math>\operatorname{PGL}(n,F)</math> and the [[projective special linear group]] <math>\operatorname{PSL}(n,F)</math> are the [[quotient group|quotients]] of <math>\operatorname{GL}(n,F)</math> and <math>\operatorname{SL}(n,F)</math> by their [[Group center|centers]] (which consist of the multiples of the identity matrix therein); they are the induced [[Group action (mathematics)|action]] on the associated [[projective space]].