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tfg_yasmina_bañuelos_villanueva.pdf (560.17 KB)

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Bachelor thesis

Publication date

2021-06-20

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cc-by-nc-nd (c) Yasmina Bañuelos Villanueva, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/184169

Extensions finites Hopf Galois

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Abstract

[en] Galois theory is one of the most famous in the mathematics field. This theory usually uses groups as the main structure of study. We’ll work to find a generalization of this theory, which will consist of using a more complex structure, the Hopf algebra. In the end, we’ll be able to find a relationship between a Hopf algebra associated with a Hopf Galois extension and a regular subgroup of permutations. This final result will be the one that will enable us to explicitly compute a Hopf algebra given the regular subgroup.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente

Subject

Teoria de Galois, Treballs de fi de grau, Àlgebres de Hopf, Anells associatius

Subject (English)

Galois theory, Bachelor's theses, Hopf algebras, Associative rings

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

BAÑUELOS VILLANUEVA, Yasmina. Extensions finites Hopf Galois. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/184169

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