Transformations preserving adjacency and base subsets of spine spaces

DOI10.1007/BF02942034zbMath1085.51005MaRDI QIDQ2581042

Krzysztof Prażmowski, M. A. Pankov, Mariusz Żynel

Publication date: 10 January 2006

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

adjacencycollineationGrassmann spacebase subsetspine space

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Algebraization in linear incidence geometry (51A25)

Related Items (2)

Possible primitive notions for geometry of spine spaces ⋮ Adjacency in generalized projective Veronese spaces

Cites Work

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• On isomorphisms of Grassmann spaces
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• Automorphisms of spine spaces
• Mappings of the sets of invariant subspaces of null systems
• Transformations of Grassmannians preserving the class of base subsets
• A characterization of geometrical mappings of Grassmann spaces
• Adjacency preserving transformations of Grassmann spaces
• Geschlitzte Inzidenzgruppen und normale Fastmoduln
• On bijections that preserve complementarity of subspaces
• On the geometry of algebraic homogeneous spaces

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