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arXiv · 0906.4891

On a characterization of locally finite groups in terms of linear cellular automata

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

We prove that a group $G$ is locally finite if and only if every surjective real (or complex) linear cellular automaton with finite-dimensional alphabet over $G$ is injective.

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2009-06-26. On a characterization of locally finite groups in terms of linear cellular automata. https://arxiv.org/abs/0906.4891

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