1. On harmonicity in some Moufang-Klingenberg planes
- Author
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SÜLEYMAN ÇİFTÇİ, ATİLLA AKPINAR, BASRİ ÇELİK, Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü., Çelik, Basri, Akpınar, Atilla, Çiftçi, Süleyman, ABB-9790-2020, and AAE-2600-2019
- Subjects
Local alternative ring ,Moufang-Klingenberg planes ,Mathematics::Group Theory ,Moufang-Klingenberg planes,local alternative ring,projective collineation,cross-ratio,harmonicity,harmonic position ,General Mathematics ,Cross-ratio ,Local Ring ,Projective Transformation ,Collineation ,Projective collineation ,Harmonic position ,Harmonicity ,6-figures ,Mathematics - Abstract
In this paper we study Moufang-Klingenberg planes M (A) defined over a local alternative ring A of dual numbers. We show that some collineations of M (A) preserve cross-ratio and thus establish a relation between harmonicity and harmonic position.
- Published
- 2014