An Application of Finite Groups to Hopf algebras
2021 ◽
Vol 14
(3)
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pp. 816-828
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Kaplansky’s famous conjectures about generalizing results from groups to Hopf al-gebras inspired many mathematicians to try to find solusions for them. Recently, Cohen and Westreich in [8] and [10] have generalized the concepts of nilpotency and solvability of groups to Hopf algebras under certain conditions and proved interesting results. In this article, we follow their work and give a detailed example by considering a finite group G and an algebraically closed field K. In more details, we construct the group Hopf algebra H = KG and examine its properties to see what of the properties of the original finite group can be carried out in the case of H.
2001 ◽
Vol 130
(3)
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pp. 441-474
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2014 ◽
Vol 22
(2)
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pp. 51-56
1979 ◽
Vol 28
(3)
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pp. 321-324
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2010 ◽
Vol 09
(01)
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pp. 11-15
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1969 ◽
Vol 9
(1-2)
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pp. 109-123
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1963 ◽
Vol 15
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pp. 605-612
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2012 ◽
Vol 56
(1)
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pp. 49-56
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