%0 Journal Article
%T On a characterization of locally finite groups in terms of linear cellular automata
%A Tullio Ceccherini-Silberstein
%A Michel Coornaert
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0906.4891v1