Volterra series and permutation groups
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 39 (1991), pp. 3-40.

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Algebraic structures, connected with the asymptotic expansions of perturbations of smooth dynamical systems, are investigated; first of all, the so-called shuffle multiplication for permutations and for iterated integrals.
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A. A. Agrachev; R. V. Gamkrelidze. Volterra series and permutation groups. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 39 (1991), pp. 3-40. http://geodesic.mathdoc.fr/item/INTD_1991_39_a0/