infinite group
C51333
concept
An infinite group is a group whose underlying set has infinitely many elements, equipped with a binary operation satisfying closure, associativity, identity, and inverses.
All labels observed (1)
| Label | Occurrences |
|---|---|
| infinite group canonical | 2 |
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: infinite group
Generated description
An infinite group is a group whose underlying set has infinitely many elements, equipped with a binary operation satisfying closure, associativity, identity, and inverses.
Instances (2)
| Instance | Via concept surface |
|---|---|
| SL(2,ℤ) | — |
| Cremona group of the projective plane | — |