On a new class of Moufang-Klingenberg planes

Doğan İ., AKPINAR A.

Asian-European Journal of Mathematics, cilt.14, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s1793557121501163
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Local alternative ring, Moufang-Klingenberg plane, 4-transitivity, 6-figure, CROSS-RATIOS, OCTONION PLANES, 6-FIGURES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we deal with a new class of Moufang-Klingenberg planes and study with the concepts of 4-transitivity and 6-figures on the class of planes. So, we reach some algebraic and geometric results related on the concepts. For instance, we show that the group of collineations of these planes acts transitively on 4-gons. Finally, we obtain some properties of 6-figures.