A note on subgroups of automorphism groups of full shifts
classification
🧮 math.DS
math.COmath.GR
keywords
automorphismfullgroupshiftcasemonoidproductssubgroups
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.