Geodesic
Automaton representation of a~free group
Diskretnaya Matematika, Tome 23 (2011) no. 3, pp. 32-56

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We suggest a new example of a free subgroup of a group of automaton substitutions. We present two automata with three states which generate this subgroup; the inner semigroups of these automata are not groups. 
@article{DM_2011_23_3_a2,
     author = {S. V. Aleshin},
     title = {Automaton representation of a~free group},
     journal = {Diskretnaya Matematika},
     pages = {32--56},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2011_23_3_a2/}
}
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S. V. Aleshin. Automaton representation of a~free group. Diskretnaya Matematika, Tome 23 (2011) no. 3, pp. 32-56. http://geodesic.mathdoc.fr/item/DM_2011_23_3_a2/