On automaton permutation groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 171-186.

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We proved that the automaton permutation group $AS_2$ is generated by its elements of infinite order.
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V. V. Makarov. On automaton permutation groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 171-186. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a8/