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Bachelor thesis

Publication date

2016-06-27

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cc-by-nc-nd (c) Marta Salguero Garcı́a, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/110365

Hopf Galois theory of separable field extensions

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Abstract

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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Teresa Crespo Vicente

Subject

Teoria de Galois, Treballs de fi de grau, Àlgebres de Hopf, Mòduls (Àlgebra)

Subject (English)

Galois theory, Bachelor's theses, Hopf algebras, Modules (Algebra)

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

SALGUERO GARCÍA, Marta. Hopf Galois theory of separable field extensions. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/110365

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