Vol. 5, No. 1, 2007

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The general structure of the projective planes admitting PSL(2,q) as a collineation group

Alessandro Montinaro

Vol. 5 (2007), No. 1, 35–116

Projective planes of order n admitting PSL(2,q), q > 3, as a collineation group are investigated for n q2. As a consequence, affine planes of order n admitting PSL(2,q), q > 3, as a collineation group are classified for n < q2 and (q,n)(5,16). Finally, a complete classification of the translation planes order n that admitting PSL(2,q), q > 3, as a collineation group is obtained for n q2.

projective plane, collineation group, orbit
Mathematical Subject Classification 2000
Primary: 20B25, 51E15
Received: 14 March 2007
Accepted: 27 September 2007
Alessandro Montinaro