arXiv Analytics

Sign in

arXiv:1801.02835 [math.DS]AbstractReferencesReviewsResources

Topological rigidity of linear cellular automaton shifts

Robert Fokkink, Reem Yassawi

Published 2018-01-09Version 1

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.

Related articles: Most relevant | Search more
arXiv:2203.13545 [math.DS] (Published 2022-03-25)
Automorphism groups of random substitution subshifts
arXiv:1412.0080 [math.DS] (Published 2014-11-29)
Endomorphisms and automorphisms of minimal symbolic systems with sublinear complexity
arXiv:2008.05996 [math.DS] (Published 2020-08-13)
On the automorphism group of minimal S-adic subshifts of finite alphabet rank