[Cherubino] Quaderni Elettronici del Seminario di Geometria Combinatoria 20E (Ottobre 2005), 1--22
Università degli Studi di Roma "La Sapienza" - Dipartimento di Matematica

Dina GHINELLI and Francesca MEROLA
Lenz-Barlotti Classification and related open problems: an update
(Ottobre 2005)

Abstract. Lenz-Barlotti Classification is the most ambitious classification of projective planes. The planes are classified according to the configuration F formed by the point-line pairs (p,L) for which the plane is (p,L)-transitive. The last survey on existence problems of planes in the various Lenz-Barlotti classes dates back to 1973; in this paper, we discuss the known results and present the open problems, sketching the techniques that are being used, ot that might be used, to attack these problems.

AMS Subject Classification: 51E15.
Keywords: Projective Planes, Lenz-Barlotti Classification

Authors:
Dina Ghinelli
Dipartimento di Matematica - Università di Roma "La Sapienza"
P.le Aldo Moro, I-00185 Roma (Italy)
e-mail: dina_AT_mat.uniroma1.it
Francesca Merola
Dipartimento di Matematica - Università di Roma "La Sapienza"
P.le Aldo Moro, I-00185 Roma (Italy)
e-mail: merola_AT_mat.uniroma1.it
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