Algebra and Galois theories / Régine Douady, Adrien Douady.

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Algebra and Galois theories / Régine Douady, Adrien Douady.

Algèbre et théories galoisiennes. English

9783030327965 (electronic book)
3030327965 (electronic book)
3030327957
9783030327958

Cham, Switzerland : Springer, [2020]

English

Translated from French.

1 online resource

10.1007/978-3-030-32

QA214 .D6813 2020

512.32

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.

Includes bibliographical references and index.

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Description based on online resource; title from digital title page (viewed on August 12, 2020).

Print version: 9783030327958

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