On a new class of Moufang-Klingenberg planes


Doğan İ., AKPINAR A.

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

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2021
  • Doi Number: 10.1142/s1793557121501163
  • Journal Name: Asian-European Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: Local alternative ring, Moufang-Klingenberg plane, 4-transitivity, 6-figure, CROSS-RATIOS, OCTONION PLANES, 6-FIGURES
  • Bursa Uludag University Affiliated: Yes

Abstract

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.