For sufficiently large n, the automorphism and outer automorphism groups of the n-power quotient of a hyperbolic surface group are isomorphic to the corresponding power quotients of the extended mapping class group, and these quotients are infinitely presented, acylindrically hyperbolic, and…
Abbott, Thomas Ng, Davide Spriano, Radhika Gupta, and Harry Petyt
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Power quotients of surface groups and mapping class groups
For sufficiently large n, the automorphism and outer automorphism groups of the n-power quotient of a hyperbolic surface group are isomorphic to the corresponding power quotients of the extended mapping class group, and these quotients are infinitely presented, acylindrically hyperbolic, and…