math.GR Group Theory
- Group theory provides methods for understanding the Rubik's cube, and for generating algorithms for solving the cube remarkably quickly from any state the cube may be in.
- Groups find various applications in chemistry, eg. in the study of crystal structures and spectroscopy.
- Cryptography - various hard algorithmic problems about groups are used to design crypto-systems.
- Groups of symmetries are used to reduce the dimension of parameter spaces in engineering models to make model verification more tractable.
