Opposition diagrams for automorphisms of small spherical buildings

DOI10.2140/IIG.2019.17.141zbMath1472.51005arXiv1803.09367OpenAlexW3105341539WikidataQ127758562 ScholiaQ127758562MaRDI QIDQ2419882

James Parkinson, Van Maldeghem, Hendrik

Publication date: 4 June 2019

Published in: Innovations in Incidence Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09367

zbMATH Keywords

displacementspherical buildingcapped automorphismdomestic automorphismopposition diagram

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24)

Related Items (2)

Automorphisms and opposition in spherical buildings of exceptional type, I ⋮ Automorphisms and opposition in spherical buildings of exceptional type. II: Moufang hexagons

Cites Work

• Domesticity in projective spaces
• Collineations of polar spaces with restricted displacements
• Symplectic polarities of buildings of type \(\mathsf{E}_6\)
• Generalized polygons
• The combinatorics of automorphisms and opposition in generalised polygons
• Buildings of spherical type and finite BN-pairs
• The Magma algebra system. I: The user language
• Opposition diagrams for automorphisms of large spherical buildings
• Domesticity in generalized quadrangles
• A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry
• Characterizations of Trialities of Type $$\mathrm {I}_{\mathsf {id}}$$ in Buildings of Type $$\mathsf {D}_4$$
• AUTOMORPHISMS AND OPPOSITION IN TWIN BUILDINGS
• Lectures on Chevalley Groups
• Buildings
• Computing in groups of Lie type

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