Special Linear Group of 4x4 matrices over field with 2 elements
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:abbreviation |
gptkb:SL(4,2)
|
| gptkbp:actsOn |
4-dimensional vector space over field with 2 elements
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:defines |
group of 4x4 matrices with determinant 1 over field with 2 elements
|
| gptkbp:field |
finite field with 2 elements
|
| gptkbp:hasElementOrder |
2
3 4 5 7 |
| gptkbp:hasSubgroup |
Special Linear Group of 3x3 matrices over field with 2 elements
|
| https://www.w3.org/2000/01/rdf-schema#label |
Special Linear Group of 4x4 matrices over field with 2 elements
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:alternating_group_A8
|
| gptkbp:isPerfect |
true
|
| gptkbp:isQuotientOf |
Projective Special Linear Group PSL(4,2)
|
| gptkbp:isSimple |
true
|
| gptkbp:isTransitiveOn |
true
|
| gptkbp:matrixSize |
4x4
|
| gptkbp:order |
20160
|
| gptkbp:bfsParent |
gptkb:SL_4(2)
|
| gptkbp:bfsLayer |
8
|