center-free group
C51334
concept
A center-free group is a group whose center consists only of the identity element, meaning no nontrivial element commutes with all elements of the group.
All labels observed (2)
| Label | Occurrences |
|---|---|
| center-free group canonical | 1 |
| centerless group | 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: center-free group
Generated description
A center-free group is a group whose center consists only of the identity element, meaning no nontrivial element commutes with all elements of the group.
Instances (2)
| Instance | Via concept surface |
|---|---|
| PSL(2,ℝ) | — |
|
PSL(2,\mathbb{C})
surface form:
PSL(2,ℂ)
|
centerless group |