Representation of Generalized Braid Group in Classical Braid Group

摘要

We ask if any finite type generalized braid group is a subgroup of some classicalArtin braid group. We define a map from a given finite type generalized braid group to a classical Artin braid group and ask if this map is an injective homomorphism. We also check that this map is homomorphism for the generalized braid groups of type A(n), B(n) and I(2)(k).