# name
Hopf Galois theory of separable field extensions

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Teresa Crespo Vicente

# metadata.dc.description.abstract[].value
Hopf Galois theory is a generalization of Galois theory. Galois theory gives a bijective correspondence between intermediate fields of a Galois field extension (normal and separable) and subgroups of the Galois group. Hopf Galois theory substitutes the Galois group by a Hopf algebra. In the case of separable extensions it has a characterization of the Hopf Galois character in terms of groups. Thus, we use Magma in order to obtain all Hopf Galois structures of extensions of degree 8.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Marta Salguero Garcı́a, 2016

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Hopf Galois theory of separable field extensions