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On subdesigns of symmetric designs

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References

  1. Ahrens, R.W., Szekeres, G.: On a combinatorial generalization of 27 lines associated with a cubic surface. J. Austral. Math. Soc.10, 485–492 (1969).

    Google Scholar 

  2. Baartmans, A., Shrikhande, M.: Tight subdesigns of symmetric designs. Ars Combinatoria12, 303–310 (1981)

    Google Scholar 

  3. Bose, R.C., Shrikhande, S.S.: Baer subdesigns of symmetric balanced incomplete block designs. In: Essays in Probability and Statistics(S. Ikeda et al., Eds) p. 1–16 (1976)

  4. Dembowski, P.: Finite Geometries, Berlin-Heidelberg-New York: Springer 1968

    Google Scholar 

  5. Goethals, J.M., Seidel, J.J.: Strongly regular graphs derived from combinatorial designs. Canad. J. Math.22, 597–614 (1970)

    Google Scholar 

  6. Haemers, W.: A generalization of the Higman-Sims technique. Indag. Math.40, 445–447 (1978)

    Google Scholar 

  7. Haemers, W., Shrikhande, M.: Some remarks on subdesigns of symmetric designs. J. Stat. Plann. Inference3, 361–366 (1979)

    Google Scholar 

  8. Hall, M. Jr.: Combinatorial Theory. Waltham, Mass.: Blaisdell 1967

    Google Scholar 

  9. Hall, M. Jr.: Difference sets. In: Combinatories. Proceedings (Breukelen 1974), pp. 1–26. Mathematical Centre Tracts57. Amsterdam: Mathematisch Centrum 1974

    Google Scholar 

  10. Hall, M. Jr., Lane, R., Wales, D.: Designs derived from permutation groups. J. Combinatorial Theory Ser. A8, 12–22 (1970)

    Google Scholar 

  11. Hanani, H.: Balanced incomplete block designs and related designs. Discrete Math.11, 255–369 (1975)

    Google Scholar 

  12. Jónsson, W.: The (56, 11, 2)-design of Hall, Lane and Wales. J. Combinatorial Theory Ser. A14, 113–118 (1973)

    Google Scholar 

  13. Jungnickel, D.: Existence results for translation nets. In: Finite Geometries and Designs (Cameron, Hirschfeld, Hughes, eds.). Proceedings (Isle of Thorns 1980), pp. 172–196. London Mathematical Society Lecture Notes49. Cambridge-London: Cambridge University Press 1981

    Google Scholar 

  14. Jungnickel, D.: On automorphism groups of divisible designs. Canad. J. Math.34, (1982)

  15. Kantor, W.M.: 2-transitive symmetric designs. Trans. Amer. Math. Soc.146, 1–28 (1969)

    Google Scholar 

  16. Lenz, H., Jungnickel, D.: On a class of symmetric designs. Arch. Math. (Basel)33, 590–592 (1979)

    Google Scholar 

  17. McFarland, R.L.: A family of difference sets in non-cyclic groups. J. Combinatorial Theory Ser. A15, 1–10 (1973)

    Google Scholar 

  18. Menon, P.K.: On difference sets whose parameters satisfy a certain relation. Proc. Amer. Math. Soc.13, 739–745 (1962)

    Google Scholar 

  19. Rajkundlia, D.: Some techniques for constructing new infinite families of balanced incomplete block designs. Ph. D. dissertation, Queen's University, Kingston, Canada 1978

    Google Scholar 

  20. Seberry, J.: Some remarks on generalized Hadamard matrices and theorems of Rajkundlia on SBIBDs. In: Combinatorial Mathematics 6. Proceedings (Armidale, Australia 1978), pp. 154–164. Lecture Notes in Mathematics748. Berlin-Heidelberg-New York: Springer 1979

    Google Scholar 

  21. Shrikhande, S.S.: Affine resolvable balanced incomplete block designs: A survey. Aequationes Math.14, 251–269 (1976)

    Google Scholar 

  22. Singer, J.: A theorem in finite projective geometry and some application to number theory. Trans. Amer. Math. Soc.43, 377–385 (1938)

    Google Scholar 

  23. Sprague, A.P.: Nets with Singer group fixing each parallel class. Preprint

  24. Wallis, W.D.: Construction of strongly regular graphs using affine designs. Bull. Austral. Math. Soc.4, 41–49 (1971)

    Google Scholar 

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  1. Mathematisches Institut der Universität, Arndtstraße 2, D-6300, Gießen, Germany

    Dieter Jungnickel

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  1. Dieter Jungnickel
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Jungnickel, D. On subdesigns of symmetric designs. Math Z 181, 383–393 (1982). https://doi.org/10.1007/BF01161985

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