Disjoint Steiner systems associated with the Mathieu groups
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- by E. F. Assmus Jr. and H. F. Mattson Jr. PDF
- Bull. Amer. Math. Soc. 72 (1966), 843-845
References
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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).
- D. R. Hughes, On $t$-designs and groups, Amer. J. Math. 87 (1965), 761–778. MR 188288, DOI 10.2307/2373244 3. D. R. Hughes, Private communication. This contains the disjointness proof, omitted from [2].
- Lowell J. Paige, A note on the Mathieu groups, Canadian J. Math. 9 (1957), 15–18. MR 84506, DOI 10.4153/CJM-1957-003-8 5. E. Witt, Die 5-fach transitiven Gruppen von Mathieu, Hamburg Abh. 12 (1936), 256-264. 6. E. Witt, Ueber Steinersche Systeme, Hamburg Abh. 12 (1936), 265-275.
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 843-845
- DOI: https://doi.org/10.1090/S0002-9904-1966-11582-3
- MathSciNet review: 0200175