We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with char k not equal 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [AS1], [BDG] and [Ge] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails. [References: 18]
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