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Groups, Symmetry and Fractals

Groups, Symmetry and Fractals

Groups, Symmetry and Fractals

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Introductory Group Theory Notes

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.

s216 Pages
Group Theory by Gunnar Traustason

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.

s49 Pages
Notes on finite group theory

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.

s103 Pages
Lectures on Geometric Group Theory (PDF 108P)

Lectures on Geometric Group Theory (PDF 108P)

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Algebraic Groups and Discontinuous Subgroups

Algebraic Groups and Discontinuous Subgroups

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Algebraic               Groups and Arithmetic Groups

Algebraic Groups and Arithmetic Groups

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The Classification of the Finite Simple Groups

The Classification of the Finite Simple Groups

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Homogeneous spaces and equivariant embeddings

Homogeneous spaces and equivariant embeddings

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