4-Transitivity and 6-figures in finite klingenberg planes of parameters (p2k-1, p)


AKPINAR A., ÇELİK B., Ciftci S.

International Journal of Computational and Mathematical Sciences, vol.4, no.1, pp.48-51, 2010 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 1
  • Publication Date: 2010
  • Journal Name: International Journal of Computational and Mathematical Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.48-51

Abstract

In this paper, we carry over some of the results which are valid on a certain class of Moufang-Klingenberg planes M(A) coordinatized by an local alternative ring A:= A(ε) = A+Aε of dual numbers to finite projective Klingenberg plane M(A) obtained by taking local ring Zq (where prime power q = pk) instead of A. So, we show that the collineation group of M(A) acts transitively on 4-gons, and that any 6-figure corresponds to only one inversible m ∈ A.