TWISTED CONJUGACY IN CERTAIN ARTIN GROUPS

We show that the twisted conjugacy problem for extra-large Artin groups and for the class of CLTTF Artin groups introduced by J. Crisp in Ref. 18 is solvable, relative to length preserving automorphisms.We also show that these groups have infinite number of such twisted conjugacy classes and twisted conjugacy of elements of a standard parabolic subgroup which is invariant under the automorphism in the group, implies twisted conjugacy already in the parabolic subgroup.