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Intersection triangles and block intersection numbers of Steiner systems. (English) Zbl 0276.05018


MSC:

05B05 Combinatorial aspects of block designs
05B30 Other designs, configurations
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References:

[1] Alltopp, W. O.: An infinite class of 5-designs. J. combinat. Theory, Ser. A12, 390-395 (1972) · Zbl 0239.05011
[2] Bruck, R., Ryser, H. J.: The non-existence of certain finite projective planes. Canadian J. Math.1, 88-93 (1949) · Zbl 0037.37502
[3] Dembowski, P.: Inversive planes of even order. Bull. Amer. math. Soc.69, 850-854 (1963) · Zbl 0128.15204
[4] Dembowski, P.: Möbiusebenen gerader Ordnung. Math. Ann.157, 179-205 (1964) · Zbl 0137.40103
[5] Ganter, B.: A Catalogue of Steiner Systems. Darmstadt. Technische Hochschule Darmstadt (1972)
[6] Kantor, W. M.: Dimension and embedding theorems for geometric lattices (to appear) · Zbl 0302.06018
[7] Mendelsohn, N. S.: A theorem on Steiner systems. Canadian J. Math.22, 1010-1015 (1970) · Zbl 0206.02101
[8] Mendelsohn, N. S., Hung, S. H. Y.: On the Steiner systemsS(3, 4, 14) andS(4, 5, 15). Utilitas math.1, 5-95 (1972) · Zbl 0258.05017
[9] Noda, R.: Steiner systems which admit block transitive automorphism groups of small rank. Math. Z.125, 113-121 (1972) · Zbl 0218.05007
[10] Wilson, R. M., Ray-Chaudhuri, D. K.: Generalization of Fisher’s inequality tot-designs. Notices Amer. math. Soc.18, 805 (1971)
[11] Witt, E.: Über Steinersche Systeme. Abh. math. Sem. Univ. Hamburg12, 265-275 (1938) · JFM 64.0937.02
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