groupOperation
P63677
predicate
Indicates an operation that combines two elements of a group to produce another element of the same group, following the group’s algebraic rules.
All labels observed (2)
| Label | Occurrences |
|---|---|
| groupOperation canonical | 7 |
| groupProperty | 2 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: groupOperation
Generated description
Indicates an operation that combines two elements of a group to produce another element of the same group, following the group’s algebraic rules.
Sample triples (9)
| Subject | Object |
|---|---|
| Euclidean group | composition of transformations ⓘ |
| Galilean transformations | forms a group under composition via predicate surface "groupProperty" ⓘ |
| Galilean transformations | group is called the Galilean group via predicate surface "groupProperty" ⓘ |
|
SO(3)
linked to:
rotation group SO(3)
|
matrix multiplication ⓘ |
| ISO(n) | composition of maps ⓘ |
|
SO(n)
linked to:
special orthogonal group SO(n)
|
matrix multiplication ⓘ |
| SL(2,R) | matrix multiplication ⓘ |
| secp256k1 | elliptic curve point addition ⓘ |
| Picard group | tensor product of line bundles ⓘ |