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Galois Groups and Fundamental Groups

This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on;

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The Absolute Galois Group of a Semi-Local Field

(and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois;

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Galois Groups & Fundamental Groups

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century;

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Topics in Galois Theory

problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book;

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Brauer Groups and the Cohomology of Graded Rings

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory;

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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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Groups as Galois Groups

first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The;

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Groups as Galois Groups

first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The;

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Galois Theory

Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central;

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Mathematical Sciences Research Institute Publications

This book contains eight expository articles by well-known authors of the theory of Galois groups and fundamental groups. They focus on;

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Galois Fields, Linear Feedback Shift Registers and Their Applications

This book gives an excellent introduction to finite groups and fields as well as their applications. Readers learn to understand and use;

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Galois Embedding Problems

This book is concerned with a type of embedding problems in Galois theory known as Galois embedding problems with finite abelian kernels;

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Galois Theory and Advanced Linear Algebra

students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley-Hamilton theorem, Galois groups;

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Galois Theory and Advanced Linear Algebra

students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley-Hamilton theorem, Galois groups;

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Algebra

/>Exercises appear throughout the text, clarifying concepts as they arise; additional exercises, varying widely in difficulty, are included at the;

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Algebraic Groups and Differential Galois Theory

such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory;

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Galois Theories

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context;

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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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Algebra

This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level;

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Algebra

This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level;

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Topics in Algebra

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.;

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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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Modular Forms And Galois Cohomology

contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic;

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A Classical Introduction to Galois Theory

Explore the foundations and modern applications of Galois theory Galois theory is widely regarded as one of the most elegant areas;

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Galois Theories

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context;

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Profinite Groups

. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much;

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Galois Representations and Phi, Gamma-modules

Understanding Galois representations is one of the central goals of number theory. Around 1990, Fontaine devised a strategy to compare such;

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