hasElementOfOrder
P77145
predicate
Indicates that a structure (such as a group) contains an element whose order (the smallest positive integer n such that the element raised to the n-th power is the identity) equals a specified value.
All labels observed (1)
| Label | Occurrences |
|---|---|
| hasElementOfOrder canonical | 48 |
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: hasElementOfOrder
Generated description
Indicates that a structure (such as a group) contains an element whose order (the smallest positive integer n such that the element raised to the n-th power is the identity) equals a specified value.
Sample triples (48)
| Subject | Object |
|---|---|
| Co1 | 2 ⓘ |
| Co1 | 3 ⓘ |
| Co1 | 4 ⓘ |
| Co1 | 5 ⓘ |
| Co1 | 6 ⓘ |
| Co1 | 7 ⓘ |
| Co1 | 8 ⓘ |
| Co1 | 11 ⓘ |
| Co1 | 13 ⓘ |
| Co1 | 23 ⓘ |
| Co1 | 29 ⓘ |
| Co2 | 2 ⓘ |
| Co2 | 3 ⓘ |
| Co2 | 4 ⓘ |
| Co2 | 5 ⓘ |
| Co2 | 6 ⓘ |
| Co2 | 7 ⓘ |
| Co2 | 11 ⓘ |
| Co2 | 23 ⓘ |
|
modular group PSL(2,Z)
surface form:
PSL(2,ℤ)
|
2 ⓘ |
|
modular group PSL(2,Z)
surface form:
PSL(2,ℤ)
|
3 ⓘ |
|
modular group PSL(2,Z)
surface form:
PSL(2,ℤ)
|
∞ ⓘ |
| SL(2,7) | 2 ⓘ |
| SL(2,7) | 3 ⓘ |
| SL(2,7) | 4 ⓘ |
| SL(2,7) | 6 ⓘ |
| SL(2,7) | 7 ⓘ |
| SL(2,7) | 8 ⓘ |
| SL(2,7) | 12 ⓘ |
| SL(2,7) | 14 ⓘ |
| SL(2,7) | 21 ⓘ |
| SL(2,7) | 24 ⓘ |
| PGL(2,7) | 2 ⓘ |
| PGL(2,7) | 3 ⓘ |
| PGL(2,7) | 4 ⓘ |
| PGL(2,7) | 6 ⓘ |
| PGL(2,7) | 7 ⓘ |
| PGL(2,7) | 8 ⓘ |
| PGL(2,7) | 12 ⓘ |
| PGL(2,7) | 14 ⓘ |
| PGL(2,7) | 21 ⓘ |
| symmetric group S5 | 2 ⓘ |
| symmetric group S5 | 3 ⓘ |
| symmetric group S5 | 4 ⓘ |
| symmetric group S5 | 5 ⓘ |
| symmetric group S5 | 6 ⓘ |
| symmetric group S5 | 10 ⓘ |
| symmetric group S5 | 12 ⓘ |