References
D. A.Drake and D.Jungnickel, Finite Hjelmslev planes and Klingenberg epimorphisms. In: Rings and Geometry, Proc. NATO Advanced Study Inst., 153–231, Istanbul 1984.
H. Gevaert andD. Keppens, Epimorphisms of partial geometries onto generalized quadrangles. Arch. Math.53, 95–98 (1989).
G.Hanssens and H.Van Maldeghem, Hjelmslev quadrangle buildings. Submitted.
G.Hanssens and H.Van Maldeghem, A class of classical Hjelmslev quadrangles. Submitted.
D. Keppens, Möbius planes with neighbor relation. Simon Stevin (2)61, 157–170 (1987).
D. Keppens, Laguerre and Minkowski planes with neighbour relation. J. Geom.30, 12–27 (1987).
D.Keppens, Klingenberg incidence structures, a contribution to the study of ring geometries. Ph.D. Thesis, Ghent 1987.
D. Keppens, On polarities in thek-uniformn-dimensional projective Hjelmslev space PH(n, GF(g) [t]/int, k),q odd. Results Math.12, 297–324 (1987).
W. Klingenberg, Projektive und affine Ebenen mit Nachbarelementen. Math. Z.60, 384–406 (1954).
W. Klingenberg, Projektive Geometrien mit Homomorphismus. Math. Ann.132, 180–200 (1956).
H. Lück, Projektive Hjelmslevräume. J. Reine Angew. Math.243, 121–158 (1970).
H. Lüneburg, Affine Hjelmslev-Ebenen mit transitiver Translationsgruppe. Math. Z.79, 260–288 (1962).
S.Payne and J. A.Thas, Finite generalized quadrangles. Res. Notes in Math.110, 312pp, Boston-London-Melbourne 1984.
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Research supported by I.W.O.N.L. grant no. 840037.
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Keppens, D. Classical Klingenberg generalized quadrangles. Arch. Math 55, 619–624 (1990). https://doi.org/10.1007/BF01191699
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DOI: https://doi.org/10.1007/BF01191699