On Semisimple Hopf Algebras of Dimension pqn
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AbstractLet p, q be prime numbers with p2 < q, n ∊ ℕ, and H a semisimple Hopf algebra of dimension pqn over an algebraically closed field of characteristic 0. This paper proves that H must possess one of the following two structures: (1) H is semisolvable; (2) H is a Radford biproduct R#kG, where kG is the group algebra of group G of order p and R is a semisimple Yetter–Drinfeld Hopf algebra in of dimension qn.
2010 ◽
Vol 09
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pp. 11-15
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2002 ◽
Vol 34
(3)
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pp. 301-307
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2021 ◽
Vol 14
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pp. 816-828
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1976 ◽
Vol 59
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pp. 29-29
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1993 ◽
Vol 113
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pp. 45-70
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1991 ◽
Vol 02
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pp. 41-66
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