Reciprocity and rationality for the greedy normal form of a Coxeter group

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dc.creatorScott, Richard
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:34Z
dc.date.available2026-07-07T10:02:34Z
dc.descriptionWe show that the characteristic series for the greedy normal form of a Coxeter group is always a rational series, and prove a reciprocity formula for this series when the group is right-angled and the nerve is Eulerian. As corollaries we obtain many of the known rationality and reciprocity results for the growth series of Coxeter groups as well as some new ones.
dc.identifierhttps://arxiv.org/abs/0809.2251
dc.identifierhttp://arxiv.org/abs/0809.2251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169018
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.titleReciprocity and rationality for the greedy normal form of a Coxeter group
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