Abstract
We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic. Using this, we show that two distinct such shifts cannot be isomorphic. We conclude that the automorphism group of a linear cellular automaton shift is a finitely generated abelian group.
| Original language | English |
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| Pages (from-to) | 1105-1113 |
| Journal | Indagationes Mathematicae |
| Volume | 29 |
| Issue number | 4 |
| Publication status | Published - 2018 |