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We prove that every finitely presented group with positive first    ℓ  2   ‐Betti number that virtually surjects onto   Z   is acylindrically hyperbolic. In particular, this implies acylindrical hyperbolicity of finitely presented residually finite groups with positive first    ℓ  2   ‐Betti number as well as groups of deficiency at least   2  .

On acylindrical hyperbolicity of groups with positive first ℓ 2 ‐Betti number