Special Linear Group of 2x2 matrices over field with 5 elements
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:alsoKnownAs |
gptkb:SL(2,5)
|
| gptkbp:automorphismGroup |
cyclic group of order 2
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:contains |
identity matrix
|
| gptkbp:defines |
group of 2x2 matrices with determinant 1 over field with 5 elements
|
| gptkbp:field |
gptkb:finite_field_with_5_elements
|
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S5
gptkb:alternating_group_A5 |
| https://www.w3.org/2000/01/rdf-schema#label |
Special Linear Group of 2x2 matrices over field with 5 elements
|
| gptkbp:isCenterless |
false
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isPerfect |
true
|
| gptkbp:isQuotientOf |
gptkb:PSL(2,5)
|
| gptkbp:isSimple |
true
|
| gptkbp:minimalDegreeFaithfulPermutationRepresentation |
6
|
| gptkbp:order |
120
|
| gptkbp:PSL(2,5)_isomorphicTo |
gptkb:alternating_group_A5
|
| gptkbp:SchurMultiplier |
cyclic group of order 2
|
| gptkbp:bfsParent |
gptkb:SL(2,5)
|
| gptkbp:bfsLayer |
7
|