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Generating Series of the Trace Group

  • Anne Bouillard
  • Jean Mairesse
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2710)

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Anne Bouillard
    • 1
  • Jean Mairesse
    • 1
  1. 1.Liafa, CnrsUniversité Paris 7Paris Cedex 5France

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