A reflection group is a mathematical concept in the field of group theory, specifically in the study of symmetry. It is a type of group that consists of reflections across hyperplanes in a given vector space. Reflection groups can be thought of as the symmetries of geometric objects that can be achieved through reflections. ### Definitions and Properties: 1. **Reflections**: A reflection in a vector space is a linear transformation that flips points across a hyperplane.
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