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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
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
