Abstract
A trace group (monoid) is the quotient of a free group (monoid) by relations of commutation between some pairs of generators. We prove an analog for the trace group of the Möbius inversion formula for the trace monoid (Cartier and Foata, 1969). To cite this article: A. Bouillard, J. Mairesse, C. R. Acad. Sci. Paris, Ser. I 339 (2004).
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