Groups, Symmetry and Fractals

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 Ferdi Aryasetiawan

This note describes the following topics: Abstract Group Theory, Theory of Group Representations, Group Theory in Quantum Mechanics, Lie Groups, Atomic Physics, The Group SU2: Isospin, The Point Groups, The Group SU3.

Author(s): Ferdi Aryasetiawan

140 Pages

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.

Author(s): Peter J. Cameron

103 Pages