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…
Commensurating en- domorphisms of acylindrically hyperbolic groups and applications.Groups Geom
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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…