4-transitivity and 6-figures in finite klingenberg planes of parameters (p 2k-1, p)

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Atıf İçin Kopyala

AKPINAR A., ÇELİK B., Ciftci S.

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.