On semisimple Hopf algebras of dimension 2q³
classification
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algebrashopfdimensiongroupnumbersemisimplealgebraalgebraically
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Let $q$ be a prime number, $k$ an algebraically closed field of characteristic 0, and $H$ a semisimple Hopf algebra of dimension $2q^3$. 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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