Group Theory

  1. Applications of Group Theory
    1. Crystallography
      1. Space Groups
        1. Point Groups
          1. Symmetry Operations
            1. Crystal Systems
            2. Chemistry
              1. Molecular Symmetry
                1. Point Groups in Chemistry
                  1. Spectroscopy Applications
                    1. Orbital Theory
                    2. Physics
                      1. Symmetries in Physics
                        1. Lorentz Group
                          1. Gauge Theory
                            1. Particle Physics
                              1. Quantum Mechanics
                              2. Cryptography
                                1. Discrete Logarithm Problem
                                  1. Diffie-Hellman Key Exchange
                                    1. Elliptic Curve Cryptography
                                      1. RSA and Group Theory
                                      2. Combinatorics
                                        1. Pólya Enumeration
                                          1. Burnside's Lemma Applications
                                            1. Graph Automorphisms
                                            2. Puzzles and Games
                                              1. Rubik's Cube Group
                                                1. 15-Puzzle
                                                  1. Other Permutation Puzzles
                                                    1. Game Theory Applications

                                                  Previous

                                                  20. Introduction to Representation Theory

                                                  Go to top

                                                  Back to Start

                                                  1. Introduction to Algebraic Structures