Let L/K be a primitive purely inseparable extension of fields ofcharacteristic p, [L : K] p, p odd. It is well known thatL/K is Hopf Galois for some Hopf algebra H, and it is suspected that L/Kis Hopf Galois for numerous choices of H. We construct a family of K-Hopfalgebras H for which L is an H-Galois object. For some choices of K wewill exhibit an infinite number of such H. We provide some explicit examplesof the dual, Hopf Galois, structure on L/K.
展开▼
