Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
Euclidean plane
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:connectedComponent |
gptkb:SO(2)
|
| gptkbp:contains |
gptkb:SO(2)
|
| gptkbp:containsElement |
2x2 real orthogonal matrices
|
| gptkbp:determinant |
±1
|
| gptkbp:dimensions |
2
|
| gptkbp:disconnectedComponents |
2
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
orthogonal group in two dimensions
|
| gptkbp:hasSubgroup |
gptkb:GL(2,_R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
O(2)
|
| gptkbp:includes |
reflections
rotations |
| gptkbp:notation |
O(2, R)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
origin
Euclidean distance |
| gptkbp:relatedGroup |
gptkb:group_of_people
gptkb:Lie_group real orthogonal group |
| gptkbp:bfsParent |
gptkb:SO(2)
gptkb:CP^1 |
| gptkbp:bfsLayer |
7
|