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math.GR2021
On endomorphisms of automatic groups
André Carvalho
We propose two geometric versions of the bounded reduction property and find conditions for them to coincide. In particular, for the natural automatic structure on a hyperbolic gro…
math.GR2021
On uniformly continuous endomorphisms of hyperbolic groups
André Carvalho
We prove a generalization of the fellow traveller property for a certain type of quasi-geodesics and use it to present three equivalent geometric formulations of the bounded reduct…