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• W2799208566 abstract "We prove that every countable family of countable acylindrically hyperbolic groups has a common finitely generated acylindrically hyperbolic quotient. As an application, we obtain an acylindrically hyperbolic group Q with strong fixed point properties: Q has property FLp for all p∈[1,+∞), and every action of Q on a finite dimensional contractible topological space has a fixed point. In addition, Q has other properties which are rather unusual for groups exhibiting “hyperbolic-like” behavior. E.g., Q is not uniformly non-amenable and has finite generating sets with arbitrary large balls consisting of torsion elements." @default.
• W2799208566 created "2018-05-07" @default.
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• W2799208566 date "2019-03-01" @default.
• W2799208566 modified "2023-09-26" @default.
• W2799208566 title "Acylindrically hyperbolic groups with exotic properties" @default.
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• W2799208566 doi "https://doi.org/10.1016/j.jalgebra.2018.12.011" @default.
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