Counting lattices in products of trees

DOI10.4171/cmh/559zbMath1530.20071arXiv2202.00378OpenAlexW4388791065MaRDI QIDQ6140213

Alex Margolis, Nir Lazarovich, Ivan Levcovitz

Publication date: 19 January 2024

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00378

zbMATH Keywords

latticessimple groupsrandom complexesproduct of trees\(\mathrm{CAT}(0)\) square complexes

Mathematics Subject Classification ID

Simple groups (20E32) Geometric group theory (20F65) Groups acting on trees (20E08) Probabilistic methods in group theory (20P05)

Cites Work

• Counting hyperbolic manifolds
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• A radius 1 irreducibility criterion for lattices in products of trees
• Counting commensurability classes of hyperbolic manifolds
• Complete square complexes.
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• On the orders of Primitive Permutation Groups
• L2-Betti number of discrete and non-discrete groups
• Graphs with a locally linear group of automorphisms
• New Simple Lattices in Products of Trees and their Projections
• A finitely presented torsion-free simple group
• On Recursions Connected With Symmetric Groups I
• On Solutions of x^d = 1 In Symmetric Groups
• Maximal subgroups of finite groups
• The probability of generating the symmetric group
• Groups acting on trees: From local to global structure
• Lattices in product of trees

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