A Note on Parabolic Subgroups of a Coxeter Group

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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.
7 pages

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Group Theory, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/106280

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512408
 http://arxiv.org/abs/math/0512408

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arXiv