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Literatur
Alltop, W.D.: Extending t-Designs, J. Comb. Th. 18 (1975), 177–186
Beth, Th.: Some Remarks on Hughes' Construction of S(5,6; 12). In: Finite Geometries and Designs, LMS Lecture Notes 49 (1981) 22–30.
Beth, Th.; Jungnickel, D., Lenz, H.: Design Theory, to appear
Cameron, P.J.: Parallelisms of Complete Designs. LMS Lecture Notes 23, Cambrigde University Press (1976)
Cameron, P.J.; van Lint, J.H.: Graphs, Codes and Designs. LMS Lecture Notes 43, Cambridge University Press (1980)
Carmichael, R.D.: Introduction to the Theory of Groups of Finite Order, Boston (1937)
Curtis, R.T.: A New Combinatorial Approach to M24 Math. Proc. Cambridge Phil. Soc. 79 (1976), 25–41
Dembowski, P.: Verallgemeinerungen von Transitivitätsklassen endlicher projektiver Ebenen. Math. Z. 69 (1958), 59–89
Denniston, R.H.F.: Some New 5-Designs. Bull. London Math. Soc. 8 (1976), 263–267
Hughes, D.R.: A Combinatorial Cosntruction of the Small Mathieu Designs and Groups, to appear in Annals of Discrete Math.
Hussain, Q.M.: On the Totality of Solutions for the Symmetrical Incomplete Block Designs: λ=2, k=5, or 6, Sankhyā 7 (1945), 204–208
Huppert, B.: Endliche Gruppen I, Springer, Berlin-Heidelberg-New York (1967)
Lüneburg, H.: Transitive Erweiterungen endlicher Permutations-gruppen, Springer Lecture Notes 84 (1969)
McWilliams, F.J.; Sloane, N.J.A.: The Theory of Error-Correcting Codes, North Holland, Amsterdam-New York-Oxford (1978)
Mills, W.H.: A New 5-Design, Ars Combinatoria 6 (1980)
Norman, C.W.: A Characterization of the Mathieu Group M11 Math. Z. 106 (1968), 162–166
Passman, D.S.: Permutation Groups, Benjamin, New York (1968)
Ryser, H.J.: Combinatorial Mathematics, Wiley, New York (1963)
van Lint, H.J.: Coding Theory, Springer Lecture Notes 201 (1973)
Witt, E.: Die 5-fach transitiven Gruppen von Mathieu. Abh. Math. Sem. Hamburg 12 (1938), 256–264
Witt, E.: Über Steinersche Systeme, Abh. Math. Sem. Hamburg 12 (1938), 265–275
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Beth, T., Jungnickel, D. (1981). Mathieu groups, With designs, and Golay codes. In: Aigner, M., Jungnickel, D. (eds) Geometries and Groups. Lecture Notes in Mathematics, vol 893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091016
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DOI: https://doi.org/10.1007/BFb0091016
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