On 6-figures in finite Klingenberg planes of parameters (p2k-1, p)

Abstract

In this paper, we deal with finite projective Klingenberg plane M(A) coordinatized by local ring A:= Zq+Zqε (where prime power q = pk, ε ∉Zq and ε2 = 0). So, we get some combinatorical results on 6-figures. For example, we show that there exist p - 1 6-figure classes in M(A).