Generic properties in some classes of automaton groups
Formal Languages and Automata Theory
2019-03-28 v1 Discrete Mathematics
Group Theory
Abstract
We prove, for various important classes of Mealy automata, that almost all generated groups have an element of infinite order. In certain cases, it also implies other results such as exponential growth.
Keywords
Cite
@article{arxiv.1903.11315,
title = {Generic properties in some classes of automaton groups},
author = {Thibault Godin},
journal= {arXiv preprint arXiv:1903.11315},
year = {2019}
}