extension of groups
C60147
concept
An extension of groups is a group constructed by fitting a normal subgroup and a quotient group together via an exact sequence, capturing how one group can be built from another.
All labels observed (1)
| Label | Occurrences |
|---|---|
| extension of groups 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: extension of groups
Generated description
An extension of groups is a group constructed by fitting a normal subgroup and a quotient group together via an exact sequence, capturing how one group can be built from another.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Weil–Deligne group | — |