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

• Autorzy: Pierre-Emmanuel Caprace
• Języki publikacji: EN

Abstrakty

EN

We show that the group of type-preserving automorphisms of any irreducible semiregular thick right-angled building is abstractly simple. When the building is locally finite, this gives a large family of compactly generated abstractly simple locally compact groups. Specialising to appropriate cases, we obtain examples of such simple groups that are locally indecomposable, but have locally normal subgroups decomposing non-trivially as direct products, all of whose factors are locally normal.

Kategorie tematyczne

• 20F65: Geometric group theory
• 20E08: Groups acting on trees
• 22D05: General properties and structure of locally compact groups
• 20E42: Groups with a B N -pair; buildings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 224
• Numer: 1
• Strony: 17-51

Daty

wydano

2014

Twórcy

autor

Pierre-Emmanuel Caprace

• Université Catholique de Louvain, IRMP, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium

Identyfikatory

DOI

10.4064/fm224-1-2