= Reflection groups
{wiki=Category:Reflection_groups}
Reflection groups are a type of mathematical structure that arise in the study of symmetries in geometry and algebra. More specifically, they are groups generated by reflections across hyperplanes in a Euclidean space. Here’s a more detailed breakdown: 1. **Definition**: A reflection group in \\( \\mathbb\{R\}^n \\) is a group that can be generated by a finite set of reflections. Each reflection is an orthogonal transformation that flips points across a hyperplane.
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