A1 Refereed original research article in a scientific journal
A note on subgroups of automorphism groups of full shifts
Authors: Ville Salo
Publisher: Cambridge University Press
Publication year: 2018
Journal: Ergodic Theory and Dynamical Systems
Volume: 38
First page : 1588
Last page: 1600
Number of pages: 13
ISSN: 0143-3857
eISSN: 1469-4417
DOI: https://doi.org/10.1017/etds.2016.95(external)
Web address : https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitlea-note-on-subgroups-of-automorphism-groups-of-full-shiftsdiv/E4E9E78448211F173CB9F6E8AFFEE750(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/18192344(external)
We discuss the set of subgroups of the automorphism group of a full shift and submonoids of its endomorphism monoid. We prove closure under direct products in the monoid case and free products in the group case. We also show that the automorphism group of a full shift embeds in that of an uncountable sofic shift. Some undecidability results are obtained as corollaries.
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