Algebra and galois theories
Douady, Régine
Algebra and galois theories - Cham : Springer, 2020 - xxiii, 462p.
Includes bibliographical references and index.
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.
9783030327989
Algebra
Galois theory
Homotopy theory
Coverings, fundamental group (mappings)
512.623.3 / DOU-A
Algebra and galois theories - Cham : Springer, 2020 - xxiii, 462p.
Includes bibliographical references and index.
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.
9783030327989
Algebra
Galois theory
Homotopy theory
Coverings, fundamental group (mappings)
512.623.3 / DOU-A
