On the maximally clustered elements of Coxeter groups

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dc.creatorGreen, R. M.
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:52:05Z
dc.date.available2026-07-07T07:52:05Z
dc.descriptionWe continue the study of the maximally clustered elements for simply laced Coxeter groups which were recently introduced by Losonczy. Such elements include as a special case the freely braided elements of Losonczy and the author, which in turn constitute a superset of the $iji$-avoiding elements of Fan. Our main result is to classify the MC-finite Coxeter groups, namely those Coxeter groups having finitely many maximally clustered elements. Remarkably, any simply laced Coxeter group having finitely many $iji$-avoiding elements also turns out to be MC-finite.
dc.descriptionApproximately 18 pages, AMSTeX. One non-essential figure
dc.identifierhttps://arxiv.org/abs/math/0703435
dc.identifierhttp://arxiv.org/abs/math/0703435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125750
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject20F55
dc.titleOn the maximally clustered elements of Coxeter groups
dc.typetext

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