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Galois Embedding Problems

-groups in infinite Galois theory. Chapter 2 is devoted to a constructive study of the module theory necessary for our work and a theoretical;

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Galois Theory

extensive references have been added to provide readers with additional resources for further study. Galois Theory, Second Edition is an excellent;

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Galois Theories

. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for;

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Aspects of Galois Theory

an invaluable resource for all those whose research involves Galois theory.;

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Galois Theory for Beginners

Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by;

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Galois Theory And Applications

course on Galois Theory. For example, the chapter 'Galois extensions, Galois groups' begins with a wonderful problem on formally real fields that;

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Galois Theories

then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a;

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Foundations of Galois Theory

treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois;

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An Introduction to Galois Cohomology and its Applications

basic results of the theory, including a detailed construction of the Galois cohomology functor, as well as an exposition of the general theory;

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Current Research Topics on Galois Geometrics

Galois geometry is the theory that deals with substructures living in projective spaces over finite fields, also called Galois fields. This;

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A Classical Introduction to Galois Theory

. As a result, their role in modern treatments of Galois theory is clearly illuminated for readers. Classical theorems by Abel, Galois, Gauss;

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Algebraic Groups and Differential Galois Theory

Galois theory. The last chapter contains several suggestions for further reading encouraging the reader to enter more deeply into different;

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Recent Developments in the Inverse Galois Problem

Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting;

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Exploratory Galois Theory

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely;

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Exploratory Galois Theory

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely;

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Algebra and Galois Theories

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions;

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Algebra and Galois Theories

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions;

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Galois Theory and Its Algebraic Background

. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a;

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Galois Theory and Its Algebraic Background

. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a;

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Galois Theory, Coverings, And Riemann Surfaces

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to;

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Inverse Galois Theory

for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.;

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The Absolute Galois Group of a Semi-Local Field

groups. This is an instance of a positive answer to the generalized inverse problem of Galois theory. Adopting both an arithmetic and;

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Arithmetic and Geometry Around Galois Theory

Galois Theory (2009) . The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and;

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Galois Theory

This is an introduction to Galois Theory along the lines of Galois's Memoir on the Conditions for Solvability of Equations by Radicals. It;

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Lie Groups

(Differential Galois theory), in much the same way as permutation groups are used in Galois theory for analysing the discrete symmetries of algebraic;

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Elements of Abstract Algebra

needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating;

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Brauer Type Embedding Problems

seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.;

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