Maps between buildings that preserve a given Weyl distance.

DOI10.1016/S0019-3577(04)80001-6zbMath1061.51010OpenAlexW2026280122MaRDI QIDQ1890442

Peter Abramenko, Van Maldeghem, Hendrik

Publication date: 3 January 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(04)80001-6

zbMATH Keywords

apartmentbuildingWeyl distancedistance preserving map

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Buildings and the geometry of diagrams (51E24)

Related Items

Maps related to polar spaces preserving a Weyl distance or an incidence condition, Unnamed Item, Weak isometries of the Boolean cube, Graphs, defined by Weyl distance or incidence, that determine a vector space, Intersections of apartments

Cites Work

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• An elementary proof of the theorem of Beckman and Quarles
• Buildings of spherical type and finite BN-pairs
• On opposition in spherical buildings and twin buildings
• Distance-preserving maps in generalized polygons. II: Maps on points and/or lines