Centralizers of reflections and reflection-independence of Coxeter groups

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dc.creatorNuida, Koji
dc.date2006-02-08
dc.date.accessioned2026-07-07T07:03:14Z
dc.date.available2026-07-07T07:03:14Z
dc.descriptionA Coxeter group W is called reflection independent if its reflections are uniquely determined by W only, independently on the choice of the generating set. We give a new sufficient condition for the reflection independence, and examine this condition for Coxeter groups in certain classes, possibly of infinite ranks. We also determine the finite irreducible components of another Coxeter group, that is a subgroup of W generated by the reflections centralizing a given generator of W. Determining such a subgroup makes our criterion efficient.
dc.description86 pages
dc.identifierhttps://arxiv.org/abs/math/0602165
dc.identifierhttp://arxiv.org/abs/math/0602165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108895
dc.subjectGroup Theory
dc.subject20F55; 20E34
dc.titleCentralizers of reflections and reflection-independence of Coxeter groups
dc.typetext

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