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