On Finite Hjelmslev Planes of Parameters (pk−1, p)
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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:63771", author = "Atilla Akpinar", title = "On Finite Hjelmslev Planes of Parameters (pk−1, p)", abstract = "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.", volume = "4", number = "7", pages = "1037-4", }