New nonlinear hyperbolic groups
classification
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groupshyperbolicnonlinearadmitamalgamatedbuiltcocompactconstruct
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We construct nonlinear hyperbolic groups which are large, torsion-free, one-ended, and admit a finite $K(\pi,1)$. Our examples are built from superrigid cocompact rank one lattices via amalgamated free products and HNN extensions.
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