There has been a rising awareness in recent years of the gender inequalities within STEM-related programmes and the need to overcome them and so bridge the gender gap in these academic disciplines. Different initiatives ...

Hopf Galois theory expands the classical Galois theory by con- sidering the Galois property in terms of the action of the group algebra k [ G ] on K/k and then replacing it by the action of a Hopf algebra. We review the ...

For a ¿nite Galois extension K/k and an intermediate ¿eld F such that Gal(K/F)has a normal complement in Gal(K/k), we construct and characterize Hopf Galois structures on K/k which are induced by a pair of Hopf Galois ...

Sessió informativa sobre les pràctiques pels estudiants de pont i de màquines a càrrec del degà Agustí Martin, la cap d'estudis Montse Vela, el vicedegà Josep A. Moreno, i l'exestudiant David Garcia

We give a degree 8 non-normal separable extension having two non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras.

In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis. We prove that the class of Hopf Galois ...

Review of Problèmes de plongement finis sur les corps non commutatifs, A. Behajaina, B.Deschamps and F. Legrand, Israel Journal of Mathematics, 249, (2022), 617-650.

Let K/k be a finite separable extension, n its degree and (K) over tilde /k its Galois closure. For n <= 5, Greither and Pareigis show that all Hopf Galois extensions are either Galois or almost classically Galois and they ...