projective linear group
C51330
concept
The projective linear group is the group of invertible linear transformations of a vector space modulo scalar multiples, equivalently the group of automorphisms of a projective space induced by linear maps.
All labels observed (2)
| Label | Occurrences |
|---|---|
| projective general linear group | 1 |
| projective 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: projective linear group
Generated description
The projective linear group is the group of invertible linear transformations of a vector space modulo scalar multiples, equivalently the group of automorphisms of a projective space induced by linear maps.
Instances (2)
| Instance | Via concept surface |
|---|---|
| PSL(2,ℤ/Nℤ) | — |
| PGL(2,7) | projective general linear group |