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arXiv:0906.4891 [math.GR]AbstractReferencesReviewsResources

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

Tullio Ceccherini-Silberstein, Michel Coornaert

Published 2009-06-26Version 1

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.

Journal: J. Cell. Autom. 6 (2011), 207-213
Categories: math.GR, math.DS
Subjects: 20F50, 37B15, 68Q80
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