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Algebra and Galois Theories (Hardcover, 1st ed. 2020)
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Algebra and Galois Theories (Hardcover, 1st ed. 2020)
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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.
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