finite reflection group
C17810
concept
A finite reflection group is a finite group generated by orthogonal reflections of a Euclidean (or more generally, real inner product) space, acting as symmetries that preserve distances and angles.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Weyl group | 1 |
| finite reflection group canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: finite reflection group
Generated description
A finite reflection group is a finite group generated by orthogonal reflections of a Euclidean (or more generally, real inner product) space, acting as symmetries that preserve distances and angles.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Weyl group | — |
| symmetric group S5 | Weyl group |