generator of PSL(2,ℤ)
C51329
concept
A generator of PSL(2,ℤ) is an element (typically represented by a 2×2 integer matrix modulo ±I) that, together with another such element, produces the entire projective modular group under composition.
All labels observed (1)
| Label | Occurrences |
|---|---|
| generator of PSL(2,ℤ) 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: generator of PSL(2,ℤ)
Generated description
A generator of PSL(2,ℤ) is an element (typically represented by a 2×2 integer matrix modulo ±I) that, together with another such element, produces the entire projective modular group under composition.
Instances (1)
| Instance | Via concept surface |
|---|---|
|
T:z ↦ z+1
surface form:
T : z ↦ z + 1
|
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