Titlebook: Galois Theory Through Exercises; Juliusz Brzeziński Textbook 2018 Springer International Publishing AG, part of Springer Nature 2018 Galoi

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asthma

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Assessment and Clinical Patterns, or challenging problems covering various aspects of Galois theory. Several of these problems can be used as a starting point for student projects, such as problems related to the normal core of groups, Galois index, the notion of elements of field extensions essentially defined over a subfield. Som

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https://doi.org/10.1007/978-3-662-02646-5 is a zero of a nontrivial polynomial with coefficients in K. We relate the elements of algebraic extensions to the corresponding polynomials and look at the structures of the simplest extensions .(.) of K. We also introduce the notion of the degree of a field extension and prove some of its properties such as the Tower Law.

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