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Construction of a net without transversals over a non-planar near-field. (English) Zbl 0312.50017
MSC:
51E20 Combinatorial structures in finite projective spaces
12K05 Near-fields
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References:
[1] Ostrom T. G.: Vector spaces and construction of finite projective planes. Archiv der Mathematik 79 (1968), 1-25. · Zbl 0153.49801
[2] Ostrom T. C.: Replaceable nets, net collineations, and net extensions. Can. J. Math. 18 (1966), 666-672. · Zbl 0163.42302
[3] André J.: Über Parallelstrukturen. Math. Zeitschrift 76 (1961). 85-102. · Zbl 0099.15401
[4] Davis E. H.: Incidence systems associated with nonplanar near-fields. Canadian Journal of Mathematics 22 (1970) II. 939-952. · Zbl 0202.19501
[5] Pickert G.: Projektive Ebenen. Berlin-Göttingen-Heidelberg, Springer 1955. · Zbl 0066.38707
[6] Zemmer J. L.: Near-fields, planar and non planar. Math. Stud. 31 (1964), 145-150. · Zbl 0142.00502
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