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Müllner, Clemens and Yassawi, Reem
(2021).
DOI: https://doi.org/10.1017/etds.2020.13
Abstract
In this article we continue the study of automorphism groups of constant length substitution shifts and also their topological factors. We show that up to conjugacy, all roots of the identity map are letter exchanging maps, and all other nontrivial automorphisms arise from twisted compressions of another constant length substitution. We characterise the group of roots of the identity in both the measurable and topological setting. Finally, we show that any topological factor of a constant length substitution shift is topologically conjugate to a constant length substitution shift via a letter-to-letter code.
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About
- Item ORO ID
- 69021
- Item Type
- Journal Item
- ISSN
- 0143-3857
- Project Funding Details
-
Funded Project Name Project ID Funding Body ERC Horizon 2020 research and innovation programme No 648132 ERC - 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
- © 2020 Clemens Mullner, © 2020 Reem Yassawi
- Depositing User
- Reem Yassawi