  We continue the study of the retraction from an Artin group to a
standardparabolic subgroup introduced by Blufstein, Charney, Paris and the
secondauthor. Using right and left retractions we obtain new results on
minimalparabolic subgroups, intersection of parabolic subgroups, double cosets
withrespect to parabolic subgroups and conjugacy classes in Artin groups.
