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Mendelsohn, E.

The smallest non-derived Steiner triple system is simple as a loop. (English) Zbl 0375.20059

Algebra Univers. 8, 256-259 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 3 Documents

MSC:

20N05 Loops, quasigroups
05B30 Other designs, configurations
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References:

[1] R. H. Bruck,What is a loop? M.A.A., Prentice Hall (1963).
[2] H. Hanani,On Quadruple Systems, Canad. J. Math.12 (1960), 145–157. · Zbl 0092.01202 · doi:10.4153/CJM-1960-013-3
[3] C. C. Lindner,On the Structure of Steiner Triple Systems derived from Steiner Quadruple Systems, Colloq. Math.34 (1975), 137–142. · Zbl 0321.05016
[4] E. Mendelsohn,On Groups of Automorphisms of Steiner Triple and Quadruple Systems, J. Combinatorial Theory (to appear). · Zbl 0322.05012
[5] N. S. Mendelsohn, andS. Y. Hung,On the Steiner systems S(3, 4, 14) and S(4, 5, 15), Utilatas Math.1 (1972), 5–95. · Zbl 0258.05017
[6] K. T. Phelps,Some sufficient Conditions for a Steiner System to be derived, J. Combinatorial Theory (A)20 (1976), 393–397. · Zbl 0329.05010 · doi:10.1016/0097-3165(76)90038-8
[7] R. Quackenbush, Varieties of Steiner loops and Steiner Quasi-groups, Canad. J. Math.28 (1976), 1187–1198. · Zbl 0359.20070 · doi:10.4153/CJM-1976-118-1
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