On some regular multi-veblen configurations, the geometry of combinatorial quasi Grassmannians

• Autorzy: Prażmowska M.
• Języki publikacji: EN

Abstrakty

EN

Multi-Veblen configurations which can be embedded into Desarguesian projective spaces were characterized in [8]: besides the class of combinatorial Grassmannians, only one further class of multi-Veblen configurations shares this property, namely the class of combinatorial quasi Grassmannians introduced in [8]. In this note we discuss relationships between combinatorial Grassmannians and combinatorial quasi Grassmannians, characterize automorphisms of combinatorial quasi Grassmannians, and present some visualizations of them.

Słowa kluczowe

EN

Veblen configuration; Grassmannian geoemtrics; Steiner triple systems

PL

kofiguracja Veblena; geometria Grassmanniana; system trójkowy Steinera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 387--402
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Prażmowska M.

• Institute of Mathematics University of Białystok ul. Akademicka 2 15-267 Białystok, Poland,

Bibliografia

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• [7] M. Prażmowska Multiple perspective and generalizations of Desargues configuration, Demonstratio Math. 39(2006), no. 4, 887-906.
• [8] M. Prażmowska, Twisted projective spaces and linear completions of some partial Steiner triple systems, Beitrage Algebra Geom., to appear.
• [9] M. Prażmowska, K. Prażmowski A generalization of Desargues and Veronese configurations, Serdica Math. J. 32 (2006), no. 2-3, 185-208.
• [10] M. Prażmowska, K. Prażmowski, Combinatorial Veronese structures, their geometry, and problems of embeddability, Result. Math. 51 (2008), 275-308.
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