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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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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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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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The Absolute Galois Group of a Semi-Local Field

This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its;

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Fundamental Concepts of Abstract Algebra

, fundamentals of Galois theory, and other subjects.;

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Introduction to Abstract Algebra

theorem of algebra; Vector spaces; Algebras; field extensions: algebraic and transcendental; the fundamental theorem of Galois theory; and the;

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Algebraic Groups and Differential Galois Theory

Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general;

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Brauer Groups and the Cohomology of Graded Rings

of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer;

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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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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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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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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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Groups as Galois Groups

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the;

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Groups as Galois Groups

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the;

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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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Galois Fields, Linear Feedback Shift Registers and Their Applications

galois fields and their relationship with linear feedback shift registers. The book has a strong focus on the technical application of galois;

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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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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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Algebra

ends of the chapters. Subjects include groups, rings, fields and Galois theory, modules, and structure of rings and algebras. Further topics;

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Galois Theory and Advanced Linear Algebra

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and;

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Galois Theory and Advanced Linear Algebra

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and;

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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

Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence;

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Algebra

Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence;

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Etale Cohomology Theory (Revised Edition)

etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base;

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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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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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