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Notes on Group Theory

Notes on Group Theory

Notes on Group Theory

This note covers the following topics: Notation for sets and functions, Basic group theory, The Symmetric Group, Group actions, Linear groups, Affine Groups, Projective Groups, Finite linear groups, Abelian Groups, Sylow Theorems and Applications, Solvable and nilpotent groups, p-groups, a second look, Presentations of Groups, Building new groups from old.

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s126 Pages
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Notes on Group Theory

Notes on Group Theory

This note covers the following topics: Notation for sets and functions, Basic group theory, The Symmetric Group, Group actions, Linear groups, Affine Groups, Projective Groups, Finite linear groups, Abelian Groups, Sylow Theorems and Applications, Solvable and nilpotent groups, p-groups, a second look, Presentations of Groups, Building new groups from old.

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Group Characters, Symmetric Functions, and the Hecke Algebra

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Classical Groups

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An     Introduction to Galois Theory (PDF 130p)

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Homogeneous spaces and equivariant embeddings

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