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

MSC:
05B25Finite geometries (combinatorics)
51C05Ring geometry (Hjelmslev, Barbilian, etc.)
51D20Combinatorial geometries
51E30Other finite incidence structures
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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)
[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) · Zbl 0185.05701
[7] Jr., M. Hall: The theory of groups. (1959)
[8] Jungnickel, D.: Ph.d. dissertation. (1976)
[9] Klingenberg, W.: Projektive und affine ebenen mit nachbarelementen. Math. Z. 60, 384-406 (1954) · Zbl 0057.12601