New Simple Lattices in Products of Trees and their Projections

DOI10.4153/S0008414X19000506WikidataQ127155694 ScholiaQ127155694MaRDI QIDQ5138774

Nicolas Radu

Publication date: 4 December 2020

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

Full work available at URL: https://arxiv.org/abs/1712.01091

zbMATH Keywords

latticetreesimple

Mathematics Subject Classification ID

Simple groups (20E32) Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Groups acting on trees (20E08)

Related Items

A radius 1 irreducibility criterion for lattices in products of trees, Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness, Counting lattices in products of trees

Cites Work

• Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
• A normal subgroup theorem for commensurators of lattices
• Groups acting on products of trees, tiling systems and analytic \(K\)-theory
• Groups with trivial virtual automorphism group
• Factor and normal subgroup theorems for lattices in products of groups
• Vertex stabilizers of graphs and tracks. I.
• Amenable groups and Hadamard spaces with a totally disconnected isometry group.
• A smallest irreducible lattice in the product of trees.
• Arithmétique des algèbres de quaternions
• Arithmetic triangle groups
• Density of the commensurability groups of uniform tree lattices
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Indicability, residual finiteness, and simple subquotients of groups acting on trees
• Superrigidity for irreducible lattices and geometric splitting
• Superrigidity for the commensurability group of tree lattices
• A classification theorem for boundary 2-transitive automorphism groups of trees
• Superrigidity, generalized harmonic maps and uniformly convex spaces
• On abstract commensurators of groups
• Uniform Tree Lattices
• Isometry groups of non-positively curved spaces: discrete subgroups
• Groups with a (B, N)–pair and locally transitive graphs
• LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS
• The SQ-universality of some finitely presented groups
• Groups acting on trees: From local to global structure
• Lattices in product of trees
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