On semisimple Hopf algebras of dimension 2q3

Abstract

Let q be a prime number, k an algebraically closed field of characteristic 0, and H a semisimple Hopf algebra of dimension 2q3. This paper proves that H is always semisolvable. That is, such Hopf algebras can be obtained by (a number of) extensions from group algebras or duals of group algebras.

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