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Groups Theory Books

There are many online resources where you can find free Groups Theory books to download in PDF format, including online textbooks, ebooks, lecture notes, and more, covering basic, beginner, and advanced concepts for those looking for an introduction to the subject or a deeper understanding of it.

Group Theory by Ferdi Aryasetiawan

This note describes the following topics: Abstract Group Theory, Theory of Group Representations, Group Theory in Quantum Mechanics, Lie Groups, Atomic Physics, The Group SU2: Isospin, The Point Groups, The Group SU3.

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s 140Pages

Group Theory by Gunnar Traustason

Group Theory can be viewed as the mathematical theory that deals with symmetry, where symmetry has a very general meaning. This PDF book covers the following topics related to Group Theory : Introduction, Definitions and basic properties, Direct products and abelian groups, Composition series and solvable groups, Permutation groups and group actions, Finite groups and Sylow Theory, Semidirect products and groups of order less than 15.

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s 49Pages

Geometric Group Theory Preliminary Version Under revision

The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth. Topics covered includes: Geometry and Topology, Metric spaces, Differential geometry, Hyperbolic Space, Groups and their actions, Median spaces and spaces with measured walls, Finitely generated and finitely presented groups, Coarse geometry, Coarse topology, Geometric aspects of solvable groups, Gromov’s Theorem, Amenability and paradoxical decomposition, Proof of Stallings’ Theorem using harmonic functions.

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s 817Pages

Notes on finite group theory

This note explains the following topics: Simple groups, Examples of groups, Group actions, Sylow’s Theorem, Group extensions, Soluble and nilpotent groups, Symmetric and alternating groups, Linear groups.

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s 103Pages

Group Theory Lecture Notes (PDF 88P)

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Lectures on Geometric Group Theory (PDF 108P)

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Algebraic Groups and Discontinuous Subgroups

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Group Theory

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Algebraic Groups and Arithmetic Groups

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Groups, Symmetry and Fractals

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Abstract Algebra Number Theory, Group Theory, Galois Theory

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The Classification of the Finite Simple Groups

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Group Characters, Symmetric Functions, and the Hecke Algebra

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Classical Groups

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Representations of Finite Groups (PDF 75p)

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An Introduction to Galois Theory (PDF 130p)

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Groups and symmetry (PDF 68p)

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Homogeneous spaces and equivariant embeddings

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