Abstract
w Let us recall the theory of group extensions with abelian kernels Mc, x Chap. IV . Let G be a group and M a G-module. The equivalence classes of group extensions M a E a G giving rise to the G-module action on M form a group with respect to the Baer sum. Furthermore this group is 2Ž . isomorphic to the cohomology group H G, M . The theory is extended to the theory of Hopf algebra extensions which w x are abelian in some sense H; S . We restrict our interests to Hopf algebra extensions over a field k which are of the form
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