Abstract

Let (A,S) be an Artin group of type FC and A_T a standard parabolic subgroup of A. We use 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, we show that the centralizer and the quasi-centralizer of A_T in A are generated by their intersections with the monoid A⁺.

Authors