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Titlebook: Abstract Algebra; Suitable for Self-St Marco Hien Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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https://doi.org/10.1007/978-3-662-67974-6Groups; Rings; Galois Theory; Exam preparation; Textbook; Fields
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Abstract Algebra978-3-662-67974-6Series ISSN 2731-3824 Series E-ISSN 2731-3832
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Klausur zum Grundkurs Strahlenschutz,of the fact that the Galois group is a group and that it can be interpreted as a subgroup in the group .(5). Without knowing the roots explicitly, we can nevertheless calculate the Galois group. In Chap. 18 we will see that this implies that the roots cannot be written as an algebraic expression with successive radicals .
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Einheiten des Strahlenschutzes,xample). We prove fundamental statements about such group actions, especially in the case of actions of finite groups on finite sets. In addition, we formulate and prove the Sylow theorems which are used as an important step in the attempt to classify finite groups.
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https://doi.org/10.1007/978-3-540-75849-5An introductory chapter in which the main goals of this book are explained: to investigate on algebraic structures and to better understand polynomial equations with the help of Galois theory.
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