On level-transitivity and exponential growth
نویسندگان
چکیده
منابع مشابه
On level-transitivity and exponential growth
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. The purpose of this note is to link up two classes of groups and semigroups high...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2016
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-016-9824-7