Galois Groups and Fundamental Groups on Riemann Surfaces
Bachelor Thesis from the year 2018 in the subject Mathematics - Algebra, grade: 1,0, Free University of Berlin (Mathematik), language: English, abstract: This thesis deals with the correlation of the fundamental group and the Galois group, using their corresponding entities of covering spaces and field extensions. First it is viewed in the general setting of categories, using the language of Galois categories. It is shown that the categories of the finite étale algebras and the category of covering spaces are correlated, which gives the fact that the profinite completion of the fundamental group and the absolute Galois group are similar. More…
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Produktdetails
- ISBN: 978-3-668-81896-5
- EAN: 9783668818965
- Produktnummer: 29147637
- Verlag: GRIN Verlag
- Sprache: Englisch
- Erscheinungsjahr: 2018
- Seitenangabe: 40 S.
- Plattform: PDF
- Masse: 1'246 KB
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