Abstract : 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.
https://hal.inria.fr/inria-00099681
Contributor : Jean Mairesse <>
Submitted on : Tuesday, September 26, 2006 - 9:40:15 AM Last modification on : Saturday, March 28, 2020 - 2:17:48 AM
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⟩