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Group constructible (t,k)-nets and Hjelmslev planes. (English) Zbl 0461.05016


MSC:

05B25 Combinatorial aspects of finite geometries
51C05 Ring geometry (Hjelmslev, Barbilian, etc.)
51D20 Combinatorial geometries and geometric closure systems
51E30 Other finite incidence structures (geometric aspects)
Full Text: DOI

References:

[1] Bruck, R. H., Finite nets, II, uniqueness and imbedding, Pacif. J. Math., 13, 421-457 (1963) · Zbl 0124.00903
[2] Drake, D. A., Near affine Hjelmslev planes, J. Combinatorial Theory, 16, 34-50 (1974) · Zbl 0276.05026
[3] Drake, D. A., More new integer pairs for finite Hjelmslev planes, Illinois J. Math., 19, 618-627 (1975) · Zbl 0311.05017
[4] Drake, D. A.; Lenz, H., Finite Klingenberg planes, Abh. Math. Sem. Univ. Hamburg, 44, 70-83 (1975) · Zbl 0322.05021
[5] Drake, D. A.; Shult, E. E., Construction of Hjelmslev planes from (t, k)-nets, Geometriae Dedicata, 5, 377-392 (1976) · Zbl 0358.05014
[6] Gorenstein, D., Finite Groups (1968), Harper & Row: Harper & Row New York · Zbl 0185.05701
[7] Hall, M., The Theory of Groups (1959), Macmillan: Macmillan New York · Zbl 0084.02202
[8] Jungnickel, D., (Ph.D. dissertation (1976), Freie Universität: Freie Universität Berlin)
[9] Klingenberg, W., Projektive und affine Ebenen mit Nachbarelementen, Math. Z., 60, 384-406 (1954) · Zbl 0057.12601
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