functor on groups
C64190
concept
A functor on groups is a structure-preserving mapping from the category of groups to another category (often groups or sets) that assigns to each group an object and to each group homomorphism a corresponding morphism, respecting composition and identities.
All labels observed (1)
| Label | Occurrences |
|---|---|
| functor on 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: functor on groups
Generated description
A functor on groups is a structure-preserving mapping from the category of groups to another category (often groups or sets) that assigns to each group an object and to each group homomorphism a corresponding morphism, respecting composition and identities.
Instances (1)
| Instance | Via concept surface |
|---|---|
|
Whitehead groups
surface form:
Whitehead group
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