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Disjoint Steiner systems associated with the Mathieu groups. (English) Zbl 0158.01405

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[1] A. Cayley, On the triadic arrangements of seven and fifteen things, Philos. Mag. 37 (1850), 50-53 (Collected Mathematical Papers I, 481-484).
[2] D. R. Hughes, On \?-designs and groups, Amer. J. Math. 87 (1965), 761 – 778. · Zbl 0134.03004
[3] D. R. Hughes, Private communication. This contains the disjointness proof, omitted from [2].
[4] Lowell J. Paige, A note on the Mathieu groups, Canad. J. Math. 9 (1957), 15 – 18. · Zbl 0077.03203
[5] E. Witt, Die 5-fach transitiven Gruppen von Mathieu, Hamburg Abh. 12 (1936), 256-264. · JFM 64.0963.01
[6] E. Witt, Ueber Steinersche Systeme, Hamburg Abh. 12 (1936), 265-275. · JFM 64.0937.02
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