projective general linear group

Classical groups Finite groups Group schemes Topological groups Lie groups Super-Lie groups Higher groups Cohomology and Extensions Related concepts The projective general linear group (in some dimension and over some coefficients) is the quotient of the general linear group by its center, in other words by the subgroup consisting of scalar multiplies of the identity. Elements of are identified with the automorphisms of the projective space of lines in the original vector space where is acting,.