Parabolic subgroups of Artin groups of type FC. (Q1880017)

Let \((A,S)\) be an Artin group of type FC and \(A_T\) a standard parabolic subgroup of \(A\). The author uses combinatorial tools to show that the normalizer of \(A_T\), the commensurator of \(A_T\), and the product of the quasi-centralizer of \(A_T\) by \(A_T\) are equal. Furthermore, the author shows that the centralizer and the quasi-centralizer of \(A_T\) in \(A\) are generated by their intersections with the monoid \(A^+\).