Algebra and Galois Theories

Galois theory and the theory of coverings are closely related, and this book develops them in a parallel way, starting with coverings, which better allows the reader to make images. It is intended for graduate students and mathematicians interested in a non-exclusively algebraic view of Galois theory.

Format: Paperback
Length: 488 pages
Publication date: 14 July 2021
Publisher: Springer Nature B.V.

Galois theory shares remarkable similarities with the theory of coverings, leading algebraists to employ a geometric language when discussing field extensions. On the other hand, topologists refer to Galois coverings. This book endeavors to develop these theories in a parallel fashion, beginning with the theory of coverings, which provides a clearer visual representation for the reader. The authors have chosen a plan that emphasizes this parallelism, with the ultimate goal of transferring the geometric intuition gained in the context of coverings to the algebraic framework of Galois theory.

This book is particularly designed for advanced graduate students and mathematicians with an interest in exploring a non-exclusively algebraic perspective on Galois theory. It offers a comprehensive and in-depth exploration of the subject, providing a solid foundation for those seeking to deepen their understanding of this complex and fascinating branch of mathematics.

Weight: 679g
Dimension: 234 x 156 (mm)
ISBN-13: 9783030327989