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Notes on Group Theory by Mark Reeder
This note covers Notation for sets and functions, Basic group theory, The symmetric group, Group actions, Linear groups, Affine groups, Projective groups, Abelian groups, Finite linear groups, Sylow theorems and applications, Solvable and nilpotent groups, p groups, a second look, Presentations of groups, Building new groups from old.
Author(s): Mark Reeder
127 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
Algebraic Groups and Discontinuous Subgroups
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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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Homogeneous spaces and equivariant embeddings
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