Abstract
Let p and q be distinct prime numbers. We prove a result on the existence of nontrivial group-like elements in a certain class of semisimple Hopf algebras of dimension pq r . We conclude the classification of semisimple Hopf algebras A of dimension pq 2 over an algebraically closed field k of characteristic zero, such that both A and A * are of Frobenius type. We also complete the classification of semisimple Hopf algebras of dimension pq 2<100.
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