Greither-Pareigis Theorem and Byott's translation

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Elena Campedel
Università degli Studi di Milano-Bicocca

The problem of knowing how many different Hopf Galois structures can a given Hopf Galois extension have, and how do those structures look like, can be shifted to a group theory matter, thanks to two fundamental results due to Greither and Pareigis, and Byott. We will present these two theorems together with some applications.