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math.GT2026
Cubical residual complexes and profinite rigidity of real hyperbolic lattices
Yong Hou
We study profinite rigidity of real hyperbolic lattices, with the main application in dimension three. The basic tool is a profinite version of the dual cube complex of a pair of f…
math.GR2026
Accessible CAT groups of critical exponent less than one
Yong Hou
Let be proper CAT and let $Γ\le\Isom(X)$ be finitely generated and discrete. The sharp structural theorem states that, if is accessible over finite subgroups and $δ_X…