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Möbius inversion formula for the trace group

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).
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Submitted on : Friday, July 27, 2007 - 4:55:25 PM
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Anne Bouillard, Jean Mairesse. Möbius inversion formula for the trace group. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2003, 339 (12), pp.899-904. ⟨10.1016/j.crma.2004.10.017⟩. ⟨inria-00099682⟩

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