Geodesic
A free group of finite automata
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 12-14 
S. V. Aleshin. A free group of finite automata. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 12-14. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a2/
@article{VMUMM_1983_4_a2,
     author = {S. V. Aleshin},
     title = {A free group of finite automata},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {12--14},
     year = {1983},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a free group with two generators is embeddable in a group of finite automata.