The sphericity of the Phan geometries of type $B_n$ and $C_n$ and the Phan-type theorem of type $F_4$

DOI10.1090/S0002-9947-2012-05694-7zbMath1280.51006arXiv0901.1156OpenAlexW3101673024MaRDI QIDQ4913821

Stefan Witzel, Ralf Köhl (né Gramlich)

Publication date: 16 April 2013

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

Full work available at URL: https://arxiv.org/abs/0901.1156

zbMATH Keywords

Kac-Moody groupsPhan geometry

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (2)

Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem. ⋮ The local recognition of reflection graphs of spherical Coxeter groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphisms of Kac-Moody groups which preserve bounded subgroups.
• Mini-workshop: Symmetric varieties and involutions of algebraic groups. Abstracts from the mini-workshop held November 16th -- November 22nd, 2008.
• Finiteness properties of certain arithmetic groups in the function field case
• Buildings of spherical type and finite BN-pairs
• On the homotopy type of subcomplexes of Tits buildings
• A Phan-type theorem for \(\text{Sp}(2n,q)\)
• Lattices in Kac-Moody groups
• Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem.
• Groups with a root group datum.
• A course on Moufang sets.
• Odd-dimensional orthogonal groups as amalgams of unitary groups. I: General simple connect\-ed\-ness.
• Weak Phan systems of type \(C_n\).
• Odd-dimensional orthogonal groups as amalgams of unitary groups. II: Machine computations.
• Twin buildings and applications to \(S\)-arithmetic groups
• The complete Phan-type theorem for Sp(2n,q)
• Buildings
• The sphericity of the complex of non‐degenerate subspaces
• Iwasawa decompositions of split Kac-Moody groups
• Arithmetic groups over function fields I
• Construction de réseaux en théorie de Kac-Moody
• A new proof of a theorem of Phan
• On the simple connectedness of certain subsets of buildings
• On the Automorphisms of a Sfield
• Finiteness properties of groups

This page was built for publication: The sphericity of the Phan geometries of type $B_n$ and $C_n$ and the Phan-type theorem of type $F_4$