Algebra and Galois theories /

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Bibliographic Details
Author / Creator:Douady, Régine, author.
Uniform title:Algèbre et théories galoisiennes. English
Imprint:Cham, Switzerland : Springer, [2020]
Description:1 online resource (xxiii, 462 pages) : illustrations.
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12606679
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Other authors / contributors:Douady, Adrien, author.
ISBN:9783030327965
3030327965
3030327957
9783030327958
Notes:Includes bibliographical references and index.
Translated from French.
Description based on online resource; title from digital title page (viewed on August 12, 2020).
Summary: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.
Other form:Print version: 3030327957 9783030327958
Standard no.:10.1007/978-3-030-32