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On Finite Hjelmslev Planes of Parameters (pk−1, p)

Authors: Atilla Akpinar


In this paper, we study on finite projective Hjelmslev planes M(Zq) coordinatized by Hjelmslev ring Zq (where prime power q = pk). We obtain finite hyperbolic Klingenberg planes from these planes under certain conditions. Also, we give a combinatorical result on M(Zq), related by deleting a line from lines in same neighbour.

Keywords: finite Klingenberg plane, finite hyperbolic Klingenberg plane

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