Geodesic
Free Products of Finite Groups and Groups of Finitely Automatic Permutations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 323-331.

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A constructive proof is given to the isomorphic embeddability of a free product of a finite number of finite groups into a group of finitely automatic permutations over an alphabet in which the number of symbols is equal to the maximal order of the free factors. 
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A. S. Oliinyk. Free Products of Finite Groups and Groups of Finitely Automatic Permutations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 323-331. http://geodesic.mathdoc.fr/item/TM_2000_231_a11/

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