An automaton group: a computational case study

Document Type : Research Paper


Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ.


We introduce a two generated weakly branch contracting automaton
group $G$ which is generated by a two state automaton on a three
letter alphabet. Using its branch structure and the finiteness
nature of a sequence of its factor groups we compute the order of
some of these factors. Furthermore some algebraic properties of $G$
are detected .


Main Subjects

Volume 38, Issue 4 - Serial Number 4
December 2012
Pages 907-924
  • Receive Date: 13 October 2010
  • Revise Date: 20 April 2011
  • Accept Date: 20 April 2011
  • First Publish Date: 15 December 2012