A group G is locally finite precisely when every bijective cellular automaton A^G to A^G is reversible for every alphabet A.
Title resolution pending
1 Pith paper cite this work, alongside 106 external citations. Polarity classification is still indexing.
1
Pith paper citing it
106
external citations · OpenAlex
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Reversibility Characterization of Locally Finite Groups by Cellular Automata
A group G is locally finite precisely when every bijective cellular automaton A^G to A^G is reversible for every alphabet A.