Algebra and Galois theories / Régine Douady, Adrien Douady.

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 bet...

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Bibliographic Details
Main Authors: Douady, Régine (Author), Douady, Adrien (Author)
Format: eBook
Language:English
French
Published: Cham, Switzerland : Springer, [2020]
Subjects:
Online Access:Click for online access
Uniform Title:Algèbre et théories galoisiennes.

MARC

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041 1 |a eng  |h fre 
050 4 |a QA214  |b .D6813 2020 
049 |a HCDD 
100 1 |a Douady, Régine,  |e author. 
240 1 0 |a Algèbre et théories galoisiennes.  |l English 
245 1 0 |a Algebra and Galois theories /  |c Régine Douady, Adrien Douady. 
264 1 |a Cham, Switzerland :  |b Springer,  |c [2020] 
300 |a 1 online resource (xxiii, 462 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
520 |a 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 
546 |a Translated from French. 
588 0 |a Online resource; title from digital title page (viewed on August 12, 2020). 
505 0 |a Zorns lemma -- Categories and functors -- Linear algebra -- Coverings -- Galois theory -- Riemann surfaces -- Dessins d'enfants. 
650 0 |a Galois theory. 
650 0 |a Algebra. 
650 7 |a algebra.  |2 aat 
650 7 |a Álgebra  |2 embne 
650 7 |a Teoría de Galois  |2 embne 
650 7 |a Algebra  |2 fast 
650 7 |a Galois theory  |2 fast 
700 1 |a Douady, Adrien,  |e author. 
776 0 8 |i Print version:  |z 3030327957  |z 9783030327958  |w (OCoLC)1119639866 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-32796-5  |y Click for online access 
903 |a SPRING-MATH2020 
994 |a 92  |b HCD