TITLE

On level-transitivity and exponential growth

AUTHOR(S)
Klimann, Ines
PUB. DATE
December 2017
SOURCE
Semigroup Forum;Dec2017, Vol. 95 Issue 3, p441
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove that if the group generated by an invertible and reversible Mealy automaton acts level-transitively on a regular rooted tree, then the semigroup generated by the dual automaton has exponential growth, hence giving a decision procedure of exponential growth for a restricted family of automaton (semi)groups.
ACCESSION #
126245868

 

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