论文信息 - On Projective and Affine Hyperplanes

On Projective and Affine Hyperplanes

Abstract We study projective and affine factors in 2-coverings and associate canonically a projective space of order 2 and an affine space of order 3 to each Steiner triple system and an affine space of order 2 to each Steiner quadruple system.

Luc Teirlinck | L. Teirlinck

[1] Luc Teirlinck,et al. On Steiner Spaces , 1979, J. Comb. Theory, Ser. A.

[2] Jean Doyen,et al. Ranks of incidence matrices of Steiner triple systems , 1978 .

[3] Prince Camille de Polignac. On a Problem in Combinations , 1866 .

[4] Haim Hanani,et al. On Quadruple Systems , 1960, Canadian Journal of Mathematics.

[5] Anthony J. W. Hilton. On the Szamkolowicz‐Doyen Classification of Steiner Triple Systems , 1977 .

[6] Peter Dembowski,et al. Berichtigung und Ergänzung zu „Eine Kennzeichnung der endlichen affinen Räume“ , 1967 .

[7] G. Rota,et al. On The Foundations of Combinatorial Theory: Combinatorial Geometries , 1970 .

[8] William M. Kantor,et al. Characterizations of Finite Projective and Affine Spaces , 1969, Canadian Journal of Mathematics.

[9] P. Dembowski,et al. Some characterizations of finite projective spaces , 1960 .

[10] Michel Dehon,et al. Designs et hyperplans , 1977, J. Comb. Theory, Ser. A.