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 .