INFINITE DESCENDING CHAINS OF COCOMPACT LATTICES IN KAC–MOODY GROUPS

DOI10.1142/S0219498811005130zbMath1244.22006MaRDI QIDQ3117920

Leigh Cobbs, Lisa Carbone

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cocompact latticescovolumesKac Moody groupsinfinite descending chainssimplicial tree \(\chi\)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40)

Related Items

Groups acting simply transitively on vertex sets of hyperbolic triangular buildings ⋮ Congruence Subgroups of Lattices in Rank 2 Kac–Moody Groups over Finite Fields

Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• Covering theory for graphs of groups
• Abstract simplicity of complete Kac-Moody groups over finite fields.
• Hyperbolic buildings, conformal dimension and Mostow rigidity
• Cohomology of buildings and of their automorphism groups.
• Rigidity of quasi-isometries for some hyperbolic buildings
• Algebras, BPS states, and strings
• Covering theory for complexes of groups.
• EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS
• Sur les immeubles fuchsiens et leur type de quasi-isométrie
• Lattices of Minimal Covolume in SL₂ Over Local Fields
• Dynkin diagrams for hyperbolic Kac-Moody algebras
• Residually finite groups
• On hyperbolic buildings