Geometries for the group PSL\((3,4)\)
The authors classify all geometries for PSL\((3,4)\) that are firm, residually connected, satisfying the intersection property (IP)\(_2\) (every residue of rank 2 is either a partial linear space or a generalized digon), on which the group PSL\((3,4)\) acts flag-transitively and each flag stabilizer of this group is weakly primitive. This is along the lines of Tit's programme of finding geometric descriptions of the exceptional complex Lie groups. Using MAGMA the authors have also determined the automorphism and correlation groups of these geometries. Geometric descriptions for each of the geometries showing up in the classification are given as well.
scientific article; zbMATH DE number 1939358
scientific article