3-spherical twin buildings

DOI10.1016/j.jalgebra.2024.01.012arXiv2307.09073OpenAlexW4391112946MaRDI QIDQ6153574

Sebastian Bischof

Publication date: 14 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.09073

zbMATH Keywords

groups of Kac-Moody typetwin buildings3-spherical RGD-systems

Mathematics Subject Classification ID

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

Cites Work

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• Simple connectivity in polar spaces
• Codistances of 3-spherical buildings
• Uniqueness and presentation of Kac-Moody groups over fields
• Isomorphisms of Kac-Moody groups which preserve bounded subgroups.
• Building buildings
• Buildings of spherical type and finite BN-pairs
• Local isometries of twin buildings.
• Local to global structure in twin buildings
• Twin buildings and applications to \(S\)-arithmetic groups
• Descent in Buildings
• Buildings
• Locally split and locally finite twin buildings of 2-spherical type
• Présentations de certaines BN-paires jumelées comme sommes amalgamées
• On 2-spherical Kac-Moody groups and their central extensions
• On the simple connectedness of certain subsets of buildings
• Isometries of wall-connected twin buildings

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