References
COLBOURN, M.J. and MATHON, R.A.: On cyclic 2-designs. Ann. Discrete Math.7 (1980), 215–253
DE RESMINI, M.J.: On k-sets of type (m,n) in a Steiner system S(2,1,v). Finite Geometries and Designs. Lecture notes49 (1981), 104–113
RAY-CHAUDHURY, D.K. and WILSON, R.M.: Solution of Kirkman's Schoolgirl problem. Proc. of Symp. in pure Math.19, Combinatorics, Am. Math. Soc. (1971), 187–203
REES, R. and STINSON, D.R.: On the existence of Kirkman triple systems containing Kirkman triple subsystems. Ars Combinatoria26 (1988), 3–16
REES, R. and STINSON, D.R.: On the existence of incomplete designs of block size four having one hole. Util Math.35 (1989), 119–152
ZEITLER, H.: Special systems S(2,4,r) with maximal subsystems. Galsnik Matematicki28 (48) (1993), 191–207
ZEITLER, H.: About the number of maximal subsystems in S(2,4,v). Le MatematicheXLVIII (1993), 235–251
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In memoriam Giuseppe Tallini
A talk given at the Shanghai conference “Designs, codes and finite geometries” in 1993.
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Hao, S., Zeitler, H. Systems S(2,4,v) with exactly one or without any maximal subsystem. J Geom 57, 114–119 (1996). https://doi.org/10.1007/BF01229256
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DOI: https://doi.org/10.1007/BF01229256