UID:
almahu_9948436031702882
Format:
XXIII, 462 p. 33 illus., 6 illus. in color.
,
online resource.
Edition:
1st ed. 2020.
ISBN:
9783030327965
Content:
Galois theory has such close analogies with the theory of coatings that algebraists use a geometric language to speak of body extensions, while topologists speak of "Galois coatings". This book endeavors to develop these theories in a parallel way, starting with that of coatings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of the Galois theory the geometric intuition that one can have in the context of the coatings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.
Note:
Introduction -- Chapter 1. Zorn's Lemma -- Chapter 2. Categories and Functors -- Chapter 3. Linear Algebra -- Chapter 4. Coverings -- Chapter 5. Galois Theory -- Chapter 6. Riemann Surfaces -- Chapter 7. Dessins d'Enfants -- Bibliography -- Index of Notation.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030327958
Additional Edition:
Printed edition: ISBN 9783030327972
Additional Edition:
Printed edition: ISBN 9783030327989
Language:
English
DOI:
10.1007/978-3-030-32796-5
URL:
https://doi.org/10.1007/978-3-030-32796-5
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