non‑linear group
C53368
concept
A non-linear group is a group that cannot be faithfully represented as a group of matrices over any field, meaning it has no injective homomorphism into any general linear group.
All labels observed (1)
| Label | Occurrences |
|---|---|
| non‑linear 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: non‑linear group
Generated description
A non-linear group is a group that cannot be faithfully represented as a group of matrices over any field, meaning it has no injective homomorphism into any general linear group.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Cremona group of the projective plane | — |