General Linear Group of degree 2
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:abbreviation |
gptkb:GL(2)
|
| gptkbp:actsOn |
2-dimensional vector space
|
| gptkbp:application |
gptkb:geometry
cryptography representation theory linear algebra |
| gptkbp:centralTo |
scalar matrices
|
| gptkbp:contains |
gptkb:Special_Linear_Group_of_degree_2
|
| gptkbp:containsElement |
invertible 2x2 matrices
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:hasSubgroup |
gptkb:Special_Linear_Group_of_degree_2
Upper triangular matrices Diagonal matrices |
| https://www.w3.org/2000/01/rdf-schema#label |
General Linear Group of degree 2
|
| gptkbp:identityElement |
2x2 identity matrix
|
| gptkbp:isFinite |
if field is finite
if field is infinite |
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:notation |
gptkb:GL(2,_F)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
(q^2-1)(q^2-q) for field of order q
|
| gptkbp:relatedTo |
General Linear Group of degree n
Projective General Linear Group |
| gptkbp:bfsParent |
gptkb:Special_Linear_Group_of_degree_2
|
| gptkbp:bfsLayer |
7
|