On a Characterization of Locally Finite Groups in Terms of Linear Cellular Automata
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- J. Cellular Automata
دوره 6 شماره
صفحات -
تاریخ انتشار 2011