4-transitivity and 6-figures in finite klingenberg planes of parameters (p 2k-1, p)
World Academy of Science, Engineering and Technology, cilt.67, ss.329-332, 2010 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67
- Basım Tarihi: 2010
- Dergi Adı: World Academy of Science, Engineering and Technology
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.329-332
- 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 Z q (where prime power q = p k) 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.