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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)
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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 New York · Zbl 0185.05701
[7] Hall, M, The theory of groups, (1959), Macmillan New York
[8] Jungnickel, D, ()
[9] Klingenberg, W, Projektive und affine ebenen mit nachbarelementen, Math. Z., 60, 384-406, (1954) · Zbl 0057.12601
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