Generating series for the trace group
Identifieur interne : 007406 ( Main/Exploration ); précédent : 007405; suivant : 007407Generating series for the trace group
Auteurs : Anne Bouillard ; Jean MairesseSource :
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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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Le document en format XML
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<term>trace monoïd</term>
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<front><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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