Coxeter group
A Coxeter group is a type of mathematical group that is defined by a set of generators and relations. These groups are named after the mathematician H.S.M. Coxeter, who studied their properties in relation to geometry. They can be represented using diagrams called Coxeter diagrams, which visually depict the relationships between the generators.
Coxeter groups are important in various areas of mathematics, including geometry, algebra, and combinatorics. They can describe symmetries of geometric objects, such as regular polygons and polyhedra. Additionally, they have connections to other mathematical structures, such as reflection groups and root systems.