Establishes monotonicity of the first ℓ² Betti number under first-order logic embeddings, with strict increase for elementary embeddings of proper non-abelian subgroups in torsion-free hyperbolic groups via Perin's classification.
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An $\ell^2$ Obstruction for Elementary Embeddings of Hyperbolic Groups
Establishes monotonicity of the first ℓ² Betti number under first-order logic embeddings, with strict increase for elementary embeddings of proper non-abelian subgroups in torsion-free hyperbolic groups via Perin's classification.