A Note on Parabolic Subgroups of a Coxeter Group

Research paper by Dongwen Qi

Indexed on: 16 Dec '05Published on: 16 Dec '05Published in: Mathematics - Group Theory


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.