4-Transitivity and 6-figures in some Moufang-Klingenberg planes

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/31652

Title:	4-Transitivity and 6-figures in some Moufang-Klingenberg planes
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0001-7234-8063 0000-0002-7612-2448 Çelik, Basri Akpınar, Atilla Çiftçi, Süleyman AAE-2600-2019 ABB-9790-2020 23026643900 23026537500 26635052900
Keywords:	4-transitivity Projective collineation Moufang-Klingenberg plane Mathematics
Issue Date:	31-Oct-2006
Publisher:	Springer
Citation:	Çelik, B. vd. (2006). "4-Transitivity and 6-figures in some Moufang-Klingenberg planes". Monatshefte fur Mathematik, 152(4), 283-294.
Abstract:	In this paper, the Moufang-Klingenberg plane over a local alternative ring R of dual numbers is studied. It is shown that its collineation group is transitive on quadrangles. It is therefore shown that the coordinatization of these Moufang-Klingenberg planes is independent of the choice of the coordinatization quadrangle. Also, the concept of 6-figures is extended to these Moufang-Klingenberg planes and it is shown that any 6-figure corresponds to only one inversible m epsilon R.
URI:	https://doi.org/10.1007/s00605-007-0477-1 https://link.springer.com/article/10.1007/s00605-007-0477-1 http://hdl.handle.net/11452/31652
ISSN:	0026-9255
Appears in Collections:	Scopus Web of Science

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