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Generating series for the trace group

Identifieur interne : 007406 ( Main/Exploration ); précédent : 007405; suivant : 007407

Generating series for the trace group

Auteurs : Anne Bouillard ; Jean Mairesse

Source :

RBID : CRIN:bouillard03a

English descriptors

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.


Affiliations:


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Le document en format XML

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<div type="abstract" xml:lang="en" wicri:score="722">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.</div>
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   |texte=   Generating series for the trace group
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