A lattice in more than two Kac-Moody groups is arithmetic.

DOI10.1007/s11856-012-0006-3zbMath1259.20058arXiv0812.1383OpenAlexW3098521308MaRDI QIDQ1760411

Nicolas Monod, Pierre-Emmanuel Caprace

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1383

zbMATH Keywords

isometry groupssemisimple algebraic groupsCAT(0)-spacesirreducible complete Kac-Moody groupstopologically irreducible lattices

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20) Hyperbolic groups and nonpositively curved groups (20F67) Discontinuous groups of transformations (57S30) Linear algebraic groups over local fields and their integers (20G25) Kac-Moody groups (20G44)

Related Items (12)

Non-discrete simple locally compact groups ⋮ Strongly transitive multiple trees. ⋮ Lattices in complete rank 2 Kac-Moody groups. ⋮ Cocompact lattices in locally pro- -complete rank-2 Kac-Moody groups ⋮ Amenable uniformly recurrent subgroups and lattice embeddings ⋮ Simple groups and irreducible lattices in wreath products ⋮ Indicability, residual finiteness, and simple subquotients of groups acting on trees ⋮ On the residual and profinite closures of commensurated subgroups ⋮ Lattice envelopes ⋮ Bounding the covolume of lattices in products ⋮ Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes ⋮ An adelic arithmeticity theorem for lattices in products

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