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Conference Papers Year : 2003

Generating series for the trace group


We prove an analog for trace groups of the Möbius inversion formula for trace monoids (Cartier-Foata, 1969). A by-product is to obtain an explicit and combinatorial formula for the growth series of a trace group. This is used to study the average height of traces.
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inria-00099681 , version 1 (26-09-2006)


  • HAL Id : inria-00099681 , version 1


Anne Bouillard, Jean Mairesse. Generating series for the trace group. Developments in Language Theory 2003 (DLT'03), 2003, Szeged, Hungary. pp.159-170. ⟨inria-00099681⟩
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