Open subgroups of locally compact Kac-Moody groups.

DOI10.1007/s00209-012-1070-4zbMath1275.20057arXiv1108.4934OpenAlexW1971596218MaRDI QIDQ1955716

Timothée Marquis, Pierre-Emmanuel Caprace

Publication date: 18 June 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4934

zbMATH Keywords

parabolic subgroupsCoxeter groupsfinite fieldsBN-pairscomplete Kac-Moody groupsfinite index open subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) General properties and structure of locally compact groups (22D05) Kac-Moody groups (20G44)

Related Items

Non-discrete simple locally compact groups ⋮ On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms. ⋮ Decomposition of locally compact coset spaces ⋮ Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups ⋮ Orthogonal forms of Kac-Moody groups are acylindrically hyperbolic. ⋮ On profinite subgroups of an algebraic group over a local field ⋮ Around the Lie correspondence for complete Kac-Moody groups and Gabber-Kac simplicity ⋮ Open subgroups of the automorphism group of a right-angled building

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Buildings with isolated subspaces and relatively hyperbolic Coxeter groups.
• Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls.
• Simplicity and superrigidity of twin building lattices.
• The conjugacy problem for Coxeter groups.
• Buildings of spherical type and finite BN-pairs
• Topological simplicity, commensurator super-rigidity and nonlinearities of Kac-Moody groups
• Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups.
• Topological groups of Kac-Moody type, right-angled twinnings and their lattices.
• Decomposing locally compact groups into simple pieces
• Buildings
• On the root system of a coxeter group
• Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits

This page was built for publication: Open subgroups of locally compact Kac-Moody groups.