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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

main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of distinguished semi-local algebraic;

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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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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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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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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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Lie Groups

This book is dedicated to recent and important research on Lie groups. A Lie Group is a group which is also a differentiable manifold, with;

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Galois Theory

constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel s theory of Abelian equations, casus irreducibili;

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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 Embedding Problems

of exponent p over cyclic Galois extensions E/F whose Galois groups are of exponent p and F contains a primitive p-th root of unity. We develop a;

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Galois Theories

topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and;

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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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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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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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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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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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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

- Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes;

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Algebra

- Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes;

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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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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 Representations and Phi, Gamma-modules

is the first to provide a detailed and self-contained introduction to this theory. The close connection between the absolute Galois groups;

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