Constructing highly regular expanders from hyperbolic Coxeter groups

DOI10.1090/tran/8456OpenAlexW3164778366WikidataQ115545669 ScholiaQ115545669MaRDI QIDQ5020672

Marston D. E. Conder, Alexander Lubotzky, François Thilmany, Jeroen Schillewaert

Publication date: 7 January 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08548

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Discrete subgroups of Lie groups (22E40) Reflection groups, reflection geometries (51F15) Expander graphs (05C48)

Related Items (1)

Hyper-regular graphs and high dimensional expanders

Cites Work

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• Density properties for certain subgroups of semi-simple groups without compact components
• Graph multiplication
• Regular and semi-regular polytopes. II
• \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
• On groups of polynomial subgroup growth
• Arithmetic triangle groups
• Free quotients and the first Betti number of some hyperbolic manifolds
• Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers
• Expander graphs -- both local and global
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• Regular and semi-regular polytopes. I
• The Kronecker Product of Graphs
• Expander graphs and their applications
• Abstract Regular Polytopes
• Super-approximation, I: $\mathfrak {p}$-adic semisimple case
• High Dimensional Random Walks and Colorful Expansion
• Compact hyperbolic 4-manifolds of small volume
• Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
• Wythoff's Construction for Uniform Polytopes
• Adhérence de Zariski des groupes de Coxeter
• HIGH DIMENSIONAL EXPANDERS

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