hasAutomorphismGroupContaining
P140368
predicate
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
All labels observed (4)
| Label | Occurrences |
|---|---|
| hasAutomorphismGroupContaining canonical | 3 |
| isometryGroupContains | 3 |
| hasAutomorphismGroupProperty | 1 |
| hasIsotropyGroup | 1 |
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: hasAutomorphismGroupContaining
Generated description
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
Sample triples (8)
| Subject | Object |
|---|---|
| Heisenberg Lie algebra | symplectic group Sp(2n,R) NERFINISHED ⓘ |
| Fermat surface | (μ_n)^4 / μ_n ⓘ |
| Fermat surface | symmetric group S_4 NERFINISHED ⓘ |
| Griess algebra | largest sporadic simple group via predicate surface "hasAutomorphismGroupProperty" ⓘ |
| Siegel upper half-space | unitary group U(g) via predicate surface "hasIsotropyGroup" NERFINISHED ⓘ |
| S^2 × R geometry | SO(3) via predicate surface "isometryGroupContains" NERFINISHED ⓘ |
| S^2 × R geometry | O(3) via predicate surface "isometryGroupContains" ⓘ |
| S^2 × R geometry | R (translations) via predicate surface "isometryGroupContains" ⓘ |