On harmonicity in some Moufang-Klingenberg planesArticle Turkish OPEN
ÇELİK, Basri; AKPINAR, Atilla; ÇİFTÇİ, Süleyman; (2010)
- Publisher: TUBITAK
- Journal: issn: 1300-0098, eissn: 1303-6149
Subject: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonicity, harmonic position.
arxiv: Mathematics::Group Theory
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.