Abstract
In this paper a very easy proof of the fundamental theorem of finite linear spaces is given.
Similar content being viewed by others
References
Basterfield, J.G., Kelly, M.: A characterization of sets of \(n\) points which determine \(n\) hyperplanes. Proc. Cambr. Phil. Soc. 64, 585–588 (1968)
Bruen, A.: The number of lines determined by \(n^2\) points. J. Comb. Theory (A) 15, 225–241 (1973)
de Bruijn, N.G., Erdös, P.: On a combinatorial problem. Indag. Math. 10, 421–423 (1948)
de Witte, P.: Combinatorial properties of finite linear spaces. Bull. Soc. Math. Bel. 27(2), 115–155 (1975)
Napolitano, V.: On a characterization problem for finite linear spaces. Advanced special functions and integration methods (Melfi, 2000). In: Proceedings of the Melfi Sch. Adv. Top. Math. Phys., 2, pp. 351–376. Aracne, Rome (2001)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Prof. Salvatore Rionero.
Rights and permissions
About this article
Cite this article
Napolitano, V., Olanda, D. A simple new proof of the fundamental theorem for finite linear spaces. Ricerche mat. 63, 41–45 (2014). https://doi.org/10.1007/s11587-013-0160-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11587-013-0160-x