Automorphism groups of right-angled buildings: simplicity and local splittings

DOI10.4064/fm224-1-2zbMath1296.20031arXiv1210.7549OpenAlexW3106473381MaRDI QIDQ5396870

Pierre-Emmanuel Caprace

Publication date: 3 February 2014

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7549

zbMATH Keywords

simple groupsright-angled buildingslocally compact groupsBN-pairsright-angled Coxeter systemslocally normal subgroups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) General properties and structure of locally compact groups (22D05) Groups with a (BN)-pair; buildings (20E42) Groups acting on trees (20E08) Groups as automorphisms of other structures (22F50)

Related Items (13)

Topological and algebraic properties of universal groups for right-angled buildings ⋮ LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Restricted universal groups for right-angled buildings ⋮ Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation ⋮ Homomorphic images of locally compact groups acting on trees and buildings ⋮ Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings ⋮ Uniform simplicity of groups with proximal action ⋮ Poincaré profiles of groups and spaces ⋮ New simple groups with a BN-pair. ⋮ Some remarks on proper actions, proper metric spaces, and buildings ⋮ Open subgroups of the automorphism group of a right-angled building ⋮ Combinatorial modulus on boundary of right-angled hyperbolic buildings

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