AUTOMORPHISMS AND OPPOSITION IN TWIN BUILDINGS

DOI10.1017/S1446788712000481zbMath1284.51009arXiv1203.6172OpenAlexW2133732806MaRDI QIDQ2861574

Van Maldeghem, Hendrik, Alice Devillers, James Parkinson

Publication date: 11 November 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6172

zbMATH Keywords

projective planesspherical buildingstwin buildingsresidueKac-Moody group

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Related Items (4)

Opposition diagrams for automorphisms of large spherical buildings ⋮ Opposition diagrams for automorphisms of small spherical buildings ⋮ The combinatorics of automorphisms and opposition in generalised polygons ⋮ Characterizations of Trialities of Type $$\mathrm {I}_{\mathsf {id}}$$ in Buildings of Type $$\mathsf {D}_4$$

Cites Work

• Collineations of polar spaces with restricted displacements
• Symplectic polarities of buildings of type \(\mathsf{E}_6\)
• Uniqueness and presentation of Kac-Moody groups over fields
• On collineations and dualities of finite generalized polygons
• Collineations and dualities of partial geometries
• Buildings of spherical type and finite BN-pairs
• Groups with a (B,N)-pair of rank 2. I
• Groups with a (B,N)-pair of rank 2. II
• Twin trees. I
• Domesticity in generalized quadrangles
• The nonexistence of certain generalized polygons
• Abstract involutions of algebraic groups and of Kac–Moody groups
• Buildings
• Polarities in finite projective planes

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