id: 05996405 dt: j an: 05996405 au: Savchuk, Dmytro; Vorobets, Yaroslav ti: Automata generating free products of groups of order 2. so: J. Algebra 336, No. 1, 53-66 (2011). py: 2011 pu: Elsevier Science (Academic Press), San Diego, CA la: EN cc: ut: groups generated by automata; free products; dual automata; bireversible automata; groups acting on trees ci: li: doi:10.1016/j.jalgebra.2011.02.049 ab: Summary: We construct a family of automata with $n$ states, $n\geqslant 4$, acting on a rooted binary tree that generate the free products of cyclic groups of order 2. rv: