Abstract
We give a simple proof of the fact that the following property: any injective transition function of a cellular automaton on a group $G$ is surjective, holds for any group $G$ approximable by amenable groups. For finitely generated groups this was proved by Gromov in [1]
Citation
L. Yu. Glebsky. E. I. Gordon. "ON SURJUNCTIVITY OF THE TRANSITION FUNCTIONS OF CELLULAR AUTOMATA ON GROUPS." Taiwanese J. Math. 9 (3) 511 - 520, 2005. https://doi.org/10.11650/twjm/1500407858
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