%0 Conference Proceedings
%T Generic properties in some classes of automaton groups
%T Propriétés génériques dans certaines classes de groupes d'automate
%+ Institut Élie Cartan de Lorraine (IECL)
%+ Institut Montpelliérain Alexander Grothendieck (IMAG)
%A Godin, Thibault
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 25th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA)
%C Guadalajara, Mexico
%Y Alonso Castillo-Ramirez
%Y Pedro P. B. de Oliveira
%I Springer International Publishing
%3 Cellular Automata and Discrete Complex Systems
%V LNCS-11525
%P 91-103
%8 2019-06-26
%D 2019
%Z 1903.11315
%R 10.1007/978-3-030-20981-0_7
%Z Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]
%Z Computer Science [cs]/Discrete Mathematics [cs.DM]
%Z Mathematics [math]/Group Theory [math.GR]
%Z Computer Science [cs]Conference papers
%X 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.
%X On prouve, pour plusieurs classes importantes d'automates de Mealy, que presque tous les groupes engendrés ont un élément d'ordre infini. Cela peut également impliquer d'autres propriétés comme la croissance exponentielle.
%G English
%Z TC 1
%Z WG 1.5
%2 https://hal.science/hal-02078031/document
%2 https://hal.science/hal-02078031/file/InfiniteOrderGeneric_arxiv.pdf
%L hal-02078031
%U https://hal.science/hal-02078031
%~ CNRS
%~ IECN
%~ I3M_UMR5149
%~ INSMI
%~ IFIP-LNCS
%~ IFIP
%~ UNIV-LORRAINE
%~ IMAG-MONTPELLIER
%~ IFIP-TC
%~ IFIP-TC1
%~ TDS-MACS
%~ IFIP-WG1-5
%~ IFIP-AUTOMATA
%~ MIPS
%~ UNIV-MONTPELLIER
%~ IECLGEO
%~ IFIP-LNCS-11525
%~ UM-2015-2021