Bibliographie
Bose, R. C.: On the construction of balanced incomplete block designs. Ann. Eugenics9, 253–399 (1939).
Bruck, R. H.: What is a loop? M.A.A. Studies in Mathematics2, 59–99 (1963).
Carmichael, R. D.: Introduction to the theory of groups of finite order. Boston: Ginn 1937.
Cole, F. N., L. D. Cummings, and H. S. White: The complete enumeration of triad systems in 15 elements. Proc. Nat. Acad. Sci.3, 197–199 (1917).
Cummings, L. D.: On a method of comparison for triple systems. Trans. Amer. Math. Soc.15, 311–327 (1914).
Doyen, J.: Sur la croissance du nombre de systèmes triples de Steiner non isomorphes. J. Combinatorial Theory (à paraître).
Hall, M.: Combinat. Theory. Waltham-Toronto-London: Blaisdell 1967.
Kirkman, T. P.: On a problem in combinations. Camb. and Dublin Math. J.2, 191–204 (1847).
Moore, E. H.: Concerning triple systems. Math. Ann.43, 271–285 (1893).
Pasquale, V. de: Sui sistemi ternari di 13 elementi. Rend. R. Ist. Lombardo Sci. e Lett.32, 213–221 (1899).
Peltesohn, R.: Eine Lösung der beiden Heffterschen Differenzenprobleme. Compositio Math.6, 251–257 (1939).
Reiss, M.: Über eine Steinersche combinatorische Aufgabe, welche im 45sten Bande dieses Journals, Seite 181, gestellt worden ist. J. reine angew. Math.56, 326–344 (1859).
Skolem, Th.: Some remarks on the triple systems of Steiner. Math. Scandinav.6, 273–280 (1958).
Steiner, J.: Combinatorische Aufgabe. J. reine angew. Math.45, 181–182 (1853).
Szamkolowicz, L.: On the problem of existence of finite regular planes. Colloquium Math.9, 245–250 (1962).
—: Remarks on finite regular planes. Colloquium Math.10, 31–37 (1963).
—: Sur une classification des triplets de Steiner. Rend. Accad. Naz. Lincei.36, 125–128 (1964).
—: Alcuni problemi della teoria dei sistemi di Steiner. Rend. Mat. e Appl.24, 348–359 (1965).
White, H. S.: Construction of a groupless and headless triad system on 31 elements. Bull. Amer. Math. Soc.40, 829–832 (1934).
—, F. N. Cole, and L. D. Cummings: Complete classification of the triad systems on fifteen elements. Mem. Nat. Acad. Sci.14, No. 2, 1–89 (1919).
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Doyen, J. Sur la structure de certains systèmes triples de Steiner. Math Z 111, 289–300 (1969). https://doi.org/10.1007/BF01110238
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DOI: https://doi.org/10.1007/BF01110238