4-Transitivity and 6-figures in finite klingenberg planes of parameters (p2k-1, p)
International Journal of Computational and Mathematical Sciences, cilt.4, sa.1, ss.48-51, 2010 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 1
- Basım Tarihi: 2010
- Dergi Adı: International Journal of Computational and Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.48-51
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.