Hopf algebras which factorize through the Taft algebra T_{m^{2}}(q) and the group Hopf algebra K[C_{n}] Vrije Universiteit Brussel
We completely describe by generators and relations and classify all Hopf algebras which factorize through the Taft algebra T m 2 (q) and the group Hopf algebra K[C n]: they are nm 2-dimensional quantum groups T ω nm2(q) associated to an n-th root of unity ω. Furthermore, using Dirichlet’s prime number theorem we are able to count the number of isomorphism types of such Hopf algebras. More precisely, if d = gcd(m,v(n)) and {Formula presented} ...