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020 _a9783030327989
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a512.623.3
_bDOU-A
100 _aDouady, RĂ©gine
245 _aAlgebra and galois theories
260 _aCham :
_bSpringer,
_c2020
300 _axxiii, 462p.
504 _aIncludes bibliographical references and index.
520 _aGalois 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.
521 _aThis book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.
650 _aAlgebra
650 _aGalois theory
650 _aHomotopy theory
650 _aCoverings, fundamental group (mappings)
700 _aDouady, Adrien
856 _3Table of contents
_uhttps://link.springer.com/book/10.1007/978-3-030-32796-5
856 _3Reviews
_uhttps://www.goodreads.com/book/show/71870369-algebra-and-galois-theories?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35397
_d35397