A Note on Parabolic Subgroups of a Coxeter Group

Details A Note on Parabolic Subgroups of a Coxeter Group A Note on Parabolic Subgroups of a Coxeter Group

2005-12-17

arxiv.org/abs/math/0512408v1

Mathematics

Group Theory

7 pages

Scientific paper

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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