Titlebook: Elementary Galois Theory; A Constructive Appro Marc Nieper-Wi?kirchen Textbook 2024 The Editor(s) (if applicable) and The Author(s), under

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Methoden der Mathematischen Physik ., and we provide a complete procedure in this chapter..By being able to assign a group to each (the roots of each) polynomial, we can in turn draw conclusions about the polynomial and its roots from the group structure. Therefore, in this chapter, we look at some very general statements about grou

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Theorie der linearen Integralgleichungen,bsolute case over the rational numbers: First, we look at the relative case over suitable extensions of the original coefficient domain. Then we successively reduce the number field, so that the Galois group successively increases until we find the Galois group over the rational numbers in the limit

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2731-3824 ght at the beginning of mathematics studies and is equally suitable for first-year students at the Bachelor‘s level and for teachers...The central statements are already summarised and concisely presented978-3-662-66642-5978-3-662-66643-2Series ISSN 2731-3824 Series E-ISSN 2731-3832

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On the Solvability of Polynomial Equations,bsolute case over the rational numbers: First, we look at the relative case over suitable extensions of the original coefficient domain. Then we successively reduce the number field, so that the Galois group successively increases until we find the Galois group over the rational numbers in the limit

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978-3-662-66642-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE