arXiv Analytics

Sign in

arXiv:1507.00820 [math.DS]AbstractReferencesReviewsResources

A note on subgroups of automorphism groups of full shifts

Ville Salo

Published 2015-07-03Version 1

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.

Categories: math.DS, math.CO, math.GR
Related articles: Most relevant | Search more
arXiv:1202.4224 [math.DS] (Published 2012-02-20, updated 2012-12-25)
On automorphisms of blowups of $\mathbb{P}^3$
arXiv:2011.04824 [math.DS] (Published 2020-11-09)
Attractors of direct products
arXiv:2506.20797 [math.DS] (Published 2025-06-25)
Automorphism groups of measures on the Cantor space. Part II: Abstract homogeneous measures

Links

Toolbox