Algebra and Galois Theories

Douady, Régine; Douady, Adrien; Ray, Urmie

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, 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 Galois theory the geometric intuition that one can have in the context of coverings.
This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

Details

Published by: Springer

Publication Date: 2021-07-14

Format: Paperback

ISBN-13: 9783030327989

DOI: 10.1007/978-3-030-32796-5

Dimensions: 235cm x155cm

Pages: 462