Abstract. Using a recent classification of End(D(G)), we determine a number of properties for

In this paper we explicitly determine all indicators for groups isomorphic to the semidirect product of two cyclic groups by an automorphism of prime order, as well as the generalized quaternion groups. We then compute the indicators for the Drinfel'd doubles of these groups. This first family of groups include the dihedral groups, the non-abelian groups of order pq, and the semidihedral groups. We find that the indicators are all integers, with negative integers being possible in the first family only under certain specific conditions.

No abstract

We give a classification of all quasitriangular structures and ribbon elements of D(G) explicitly in terms of group homomorphisms and central subgroups. This can equivalently be interpreted as an explicit description of all braidings with which the tensor category Rep(D(G)) can be endowed. We also characterize their equivalence classes under the action of Aut(D(G)) and determine when they are factorizable.