Article ID Journal Published Year Pages File Type
4582551 Expositiones Mathematicae 2007 5 Pages PDF
Abstract

The aim of this note is to prove that the parabolic closure of any subset of a Coxeter group is a parabolic subgroup. To obtain that, several technical lemmas on the root system of a parabolic subgroup are established.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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A note on parabolic subgroups of a Coxeter group
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