BICROSSED PRODUCTS OF GENERALIZED TAFT ALGEBRA AND GROUP ALGEBRAS

Let G be a group generated by a set of finite order elements. We prove that any bicrossed product H-m,H-d(q) (sic) k[G] between the generalized Taft algebra H-m,H-d(q) and group algebra k[G] is actually the smash product H-m.d(q)#k[G]. Then we show that the classification of these smash products could be reduced to the description of the group automorphisms of G. As an application, the classification of H-m,H-d(q) (sic) [C-n1 x C-n2] is completely presented by generators and relations, where C-n denotes the n-cyclic group.