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Fokkink, Robbert and Yassawi, Reem
(2018).
DOI: https://doi.org/10.1016/j.indag.2018.05.011
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.
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About
- Item ORO ID
- 67274
- Item Type
- Journal Item
- ISSN
- 0019-3577
- Project Funding Details
-
Funded Project Name Project ID Funding Body European Union’s Horizon 2020 research and innovation programme, Grant Agreement No 648132 ERC - Keywords
- Algebraic dynamics; Endomorphisms and automorphisms of compact abelian ℤd actions; Automorphism groups
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2018 Royal Dutch Mathematical Society (KWG)
- Related URLs
- Depositing User
- Reem Yassawi