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Introductory Group Theory Notes
This note explains the following topics: mapping, Basic algebra, Modular arithmetic, Groups, Cosets and Lagranges theorem, Isomorphisms and quotient group, The permutation group Sn, Finite abelian groups, Group actions, Group solvability and the semi direct product.
Author(s): Sumeet Khatri
216 Pages 
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.
Author(s): Gunnar Traustason
49 Pages
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.
Author(s): Peter J. Cameron
103 Pages
Group Theory Lecture Notes (PDF 88P)
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Lectures on Geometric Group Theory (PDF 108P)
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Algebraic Groups and Arithmetic Groups
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The Classification of the Finite Simple Groups
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